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Finding the Fourth Proportional to 830,405.40, 1,245,608.10 and 410,501.40

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Solution

The fourth proportional to 830,405.40, 1,245,608.10 and 410,501.40 is: 615,752.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,405.40 : 1,245,608.10 = 410,501.40 : x
  2. Step 2: Convert to fraction form
    830,405.40/1,245,608.10 = 410,501.40/x
  3. Step 3: Cross multiply
    830,405.40x = 1,245,608.10 × 410,501.40
  4. Step 4: Simplify right side
    830,405.40x = 511,323,868,901.34
  5. Step 5: Solve for x
    x = 511,323,868,901.34/830,405.40
  6. Step 6: Final answer
    x = 615,752.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.