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Finding the Fourth Proportional to 502,443.17, 693,402.60 and 287,578.32

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Solution

The fourth proportional to 502,443.17, 693,402.60 and 287,578.32 is: 396,875.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,443.17 : 693,402.60 = 287,578.32 : x
  2. Step 2: Convert to fraction form
    502,443.17/693,402.60 = 287,578.32/x
  3. Step 3: Cross multiply
    502,443.17x = 693,402.60 × 287,578.32
  4. Step 4: Simplify right side
    502,443.17x = 199,407,553,353.74
  5. Step 5: Solve for x
    x = 199,407,553,353.74/502,443.17
  6. Step 6: Final answer
    x = 396,875.84

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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.