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Finding the Fourth Proportional to 529,019.15, 730,046.25 and 287,301.78

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Solution

The fourth proportional to 529,019.15, 730,046.25 and 287,301.78 is: 396,476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,019.15 : 730,046.25 = 287,301.78 : x
  2. Step 2: Convert to fraction form
    529,019.15/730,046.25 = 287,301.78/x
  3. Step 3: Cross multiply
    529,019.15x = 730,046.25 × 287,301.78
  4. Step 4: Simplify right side
    529,019.15x = 209,743,587,107.33
  5. Step 5: Solve for x
    x = 209,743,587,107.33/529,019.15
  6. Step 6: Final answer
    x = 396,476.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.