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Finding the Fourth Proportional to 527,159.50, 727,480.50 and 285,442.24

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Solution

The fourth proportional to 527,159.50, 727,480.50 and 285,442.24 is: 393,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,159.50 : 727,480.50 = 285,442.24 : x
  2. Step 2: Convert to fraction form
    527,159.50/727,480.50 = 285,442.24/x
  3. Step 3: Cross multiply
    527,159.50x = 727,480.50 × 285,442.24
  4. Step 4: Simplify right side
    527,159.50x = 207,653,663,476.32
  5. Step 5: Solve for x
    x = 207,653,663,476.32/527,159.50
  6. Step 6: Final answer
    x = 393,910.50

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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.