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Finding the Fourth Proportional to 527,073.90, 727,358.54 and 285,355.95

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Solution

The fourth proportional to 527,073.90, 727,358.54 and 285,355.95 is: 393,789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,073.90 : 727,358.54 = 285,355.95 : x
  2. Step 2: Convert to fraction form
    527,073.90/727,358.54 = 285,355.95/x
  3. Step 3: Cross multiply
    527,073.90x = 727,358.54 × 285,355.95
  4. Step 4: Simplify right side
    527,073.90x = 207,556,087,172.31
  5. Step 5: Solve for x
    x = 207,556,087,172.31/527,073.90
  6. Step 6: Final answer
    x = 393,789.35

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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.