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Finding the Fourth Proportional to 527,091.54, 727,385.43 and 285,374.13

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Solution

The fourth proportional to 527,091.54, 727,385.43 and 285,374.13 is: 393,815.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,091.54 : 727,385.43 = 285,374.13 : x
  2. Step 2: Convert to fraction form
    527,091.54/727,385.43 = 285,374.13/x
  3. Step 3: Cross multiply
    527,091.54x = 727,385.43 × 285,374.13
  4. Step 4: Simplify right side
    527,091.54x = 207,576,984,260.93
  5. Step 5: Solve for x
    x = 207,576,984,260.93/527,091.54
  6. Step 6: Final answer
    x = 393,815.81

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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.