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Finding the Fourth Proportional to 231,461.78, 319,446.65 and 129,492.90

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Solution

The fourth proportional to 231,461.78, 319,446.65 and 129,492.90 is: 178,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,461.78 : 319,446.65 = 129,492.90 : x
  2. Step 2: Convert to fraction form
    231,461.78/319,446.65 = 129,492.90/x
  3. Step 3: Cross multiply
    231,461.78x = 319,446.65 × 129,492.90
  4. Step 4: Simplify right side
    231,461.78x = 41,366,073,427.52
  5. Step 5: Solve for x
    x = 41,366,073,427.52/231,461.78
  6. Step 6: Final answer
    x = 178,716.65

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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.