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Finding the Fourth Proportional to 527,512.31, 727,967.72 and 285,794.90

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Solution

The fourth proportional to 527,512.31, 727,967.72 and 285,794.90 is: 394,397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,512.31 : 727,967.72 = 285,794.90 : x
  2. Step 2: Convert to fraction form
    527,512.31/727,967.72 = 285,794.90/x
  3. Step 3: Cross multiply
    527,512.31x = 727,967.72 × 285,794.90
  4. Step 4: Simplify right side
    527,512.31x = 208,049,459,937.56
  5. Step 5: Solve for x
    x = 208,049,459,937.56/527,512.31
  6. Step 6: Final answer
    x = 394,397.35

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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.