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Finding the Fourth Proportional to 527,089.95, 727,375.32 and 285,370.56

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Solution

The fourth proportional to 527,089.95, 727,375.32 and 285,370.56 is: 393,806.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,089.95 : 727,375.32 = 285,370.56 : x
  2. Step 2: Convert to fraction form
    527,089.95/727,375.32 = 285,370.56/x
  3. Step 3: Cross multiply
    527,089.95x = 727,375.32 × 285,370.56
  4. Step 4: Simplify right side
    527,089.95x = 207,571,502,398.58
  5. Step 5: Solve for x
    x = 207,571,502,398.58/527,089.95
  6. Step 6: Final answer
    x = 393,806.60

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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.