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Finding the Fourth Proportional to 527,504.22, 727,912.79 and 309,689.96

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Solution

The fourth proportional to 527,504.22, 727,912.79 and 309,689.96 is: 427,346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,504.22 : 727,912.79 = 309,689.96 : x
  2. Step 2: Convert to fraction form
    527,504.22/727,912.79 = 309,689.96/x
  3. Step 3: Cross multiply
    527,504.22x = 727,912.79 × 309,689.96
  4. Step 4: Simplify right side
    527,504.22x = 225,427,278,791.91
  5. Step 5: Solve for x
    x = 225,427,278,791.91/527,504.22
  6. Step 6: Final answer
    x = 427,346.87

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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.