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Finding the Fourth Proportional to 447,502.31, 671,150.89 and 127,648.09

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Solution

The fourth proportional to 447,502.31, 671,150.89 and 127,648.09 is: 191,442.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,502.31 : 671,150.89 = 127,648.09 : x
  2. Step 2: Convert to fraction form
    447,502.31/671,150.89 = 127,648.09/x
  3. Step 3: Cross multiply
    447,502.31x = 671,150.89 × 127,648.09
  4. Step 4: Simplify right side
    447,502.31x = 85,671,129,210.30
  5. Step 5: Solve for x
    x = 85,671,129,210.30/447,502.31
  6. Step 6: Final answer
    x = 191,442.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.