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Finding the Fourth Proportional to 316,402.56, 474,679.98 and 129,414.60

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Solution

The fourth proportional to 316,402.56, 474,679.98 and 129,414.60 is: 194,153.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,402.56 : 474,679.98 = 129,414.60 : x
  2. Step 2: Convert to fraction form
    316,402.56/474,679.98 = 129,414.60/x
  3. Step 3: Cross multiply
    316,402.56x = 474,679.98 × 129,414.60
  4. Step 4: Simplify right side
    316,402.56x = 61,430,519,739.71
  5. Step 5: Solve for x
    x = 61,430,519,739.71/316,402.56
  6. Step 6: Final answer
    x = 194,153.04

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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.