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Finding the Fourth Proportional to 642,007.10, 963,010.65 and 310,231.10

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Solution

The fourth proportional to 642,007.10, 963,010.65 and 310,231.10 is: 465,346.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,007.10 : 963,010.65 = 310,231.10 : x
  2. Step 2: Convert to fraction form
    642,007.10/963,010.65 = 310,231.10/x
  3. Step 3: Cross multiply
    642,007.10x = 963,010.65 × 310,231.10
  4. Step 4: Simplify right side
    642,007.10x = 298,755,853,261.22
  5. Step 5: Solve for x
    x = 298,755,853,261.22/642,007.10
  6. Step 6: Final answer
    x = 465,346.65

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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.