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Finding the Fourth Proportional to 522,003.10, 783,004.65 and 298,054.30

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Solution

The fourth proportional to 522,003.10, 783,004.65 and 298,054.30 is: 447,081.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,003.10 : 783,004.65 = 298,054.30 : x
  2. Step 2: Convert to fraction form
    522,003.10/783,004.65 = 298,054.30/x
  3. Step 3: Cross multiply
    522,003.10x = 783,004.65 × 298,054.30
  4. Step 4: Simplify right side
    522,003.10x = 233,377,902,852.50
  5. Step 5: Solve for x
    x = 233,377,902,852.50/522,003.10
  6. Step 6: Final answer
    x = 447,081.45

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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.