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Finding the Fourth Proportional to 231,407.72, 319,372.22 and 129,438.84

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Solution

The fourth proportional to 231,407.72, 319,372.22 and 129,438.84 is: 178,642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,407.72 : 319,372.22 = 129,438.84 : x
  2. Step 2: Convert to fraction form
    231,407.72/319,372.22 = 129,438.84/x
  3. Step 3: Cross multiply
    231,407.72x = 319,372.22 × 129,438.84
  4. Step 4: Simplify right side
    231,407.72x = 41,339,170,008.62
  5. Step 5: Solve for x
    x = 41,339,170,008.62/231,407.72
  6. Step 6: Final answer
    x = 178,642.14

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1.5x scale

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.