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Finding the Fourth Proportional to 527,423.92, 727,843.26 and 285,705.88

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Solution

The fourth proportional to 527,423.92, 727,843.26 and 285,705.88 is: 394,273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,423.92 : 727,843.26 = 285,705.88 : x
  2. Step 2: Convert to fraction form
    527,423.92/727,843.26 = 285,705.88/x
  3. Step 3: Cross multiply
    527,423.92x = 727,843.26 × 285,705.88
  4. Step 4: Simplify right side
    527,423.92x = 207,949,099,100.37
  5. Step 5: Solve for x
    x = 207,949,099,100.37/527,423.92
  6. Step 6: Final answer
    x = 394,273.17

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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.