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Finding the Fourth Proportional to 502,836.47, 693,856.15 and 287,963.72

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Solution

The fourth proportional to 502,836.47, 693,856.15 and 287,963.72 is: 397,356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,836.47 : 693,856.15 = 287,963.72 : x
  2. Step 2: Convert to fraction form
    502,836.47/693,856.15 = 287,963.72/x
  3. Step 3: Cross multiply
    502,836.47x = 693,856.15 × 287,963.72
  4. Step 4: Simplify right side
    502,836.47x = 199,805,393,909.69
  5. Step 5: Solve for x
    x = 199,805,393,909.69/502,836.47
  6. Step 6: Final answer
    x = 397,356.61

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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.