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Finding the Fourth Proportional to 527,407.91, 727,807.92 and 309,613.08

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Solution

The fourth proportional to 527,407.91, 727,807.92 and 309,613.08 is: 427,257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,407.91 : 727,807.92 = 309,613.08 : x
  2. Step 2: Convert to fraction form
    527,407.91/727,807.92 = 309,613.08/x
  3. Step 3: Cross multiply
    527,407.91x = 727,807.92 × 309,613.08
  4. Step 4: Simplify right side
    527,407.91x = 225,338,853,327.82
  5. Step 5: Solve for x
    x = 225,338,853,327.82/527,407.91
  6. Step 6: Final answer
    x = 427,257.25

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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.