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Finding the Fourth Proportional to 527,359.74, 727,630.44 and 312,462.72

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Solution

The fourth proportional to 527,359.74, 727,630.44 and 312,462.72 is: 431,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,359.74 : 727,630.44 = 312,462.72 : x
  2. Step 2: Convert to fraction form
    527,359.74/727,630.44 = 312,462.72/x
  3. Step 3: Cross multiply
    527,359.74x = 727,630.44 × 312,462.72
  4. Step 4: Simplify right side
    527,359.74x = 227,357,386,437.20
  5. Step 5: Solve for x
    x = 227,357,386,437.20/527,359.74
  6. Step 6: Final answer
    x = 431,123.90

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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.