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Finding the Fourth Proportional to 527,339.92, 727,727.34 and 285,621.88

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Solution

The fourth proportional to 527,339.92, 727,727.34 and 285,621.88 is: 394,157.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,339.92 : 727,727.34 = 285,621.88 : x
  2. Step 2: Convert to fraction form
    527,339.92/727,727.34 = 285,621.88/x
  3. Step 3: Cross multiply
    527,339.92x = 727,727.34 × 285,621.88
  4. Step 4: Simplify right side
    527,339.92x = 207,854,850,978.20
  5. Step 5: Solve for x
    x = 207,854,850,978.20/527,339.92
  6. Step 6: Final answer
    x = 394,157.25

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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.