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Finding the Fourth Proportional to 527,390.12, 727,798.52 and 285,672

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Solution

The fourth proportional to 527,390.12, 727,798.52 and 285,672 is: 394,227.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,390.12 : 727,798.52 = 285,672 : x
  2. Step 2: Convert to fraction form
    527,390.12/727,798.52 = 285,672/x
  3. Step 3: Cross multiply
    527,390.12x = 727,798.52 × 285,672
  4. Step 4: Simplify right side
    527,390.12x = 207,911,658,805.44
  5. Step 5: Solve for x
    x = 207,911,658,805.44/527,390.12
  6. Step 6: Final answer
    x = 394,227.44

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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.