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Finding the Fourth Proportional to 508,506.56, 762,764.42 and 129,427.70

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Solution

The fourth proportional to 508,506.56, 762,764.42 and 129,427.70 is: 194,142.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,506.56 : 762,764.42 = 129,427.70 : x
  2. Step 2: Convert to fraction form
    508,506.56/762,764.42 = 129,427.70/x
  3. Step 3: Cross multiply
    508,506.56x = 762,764.42 × 129,427.70
  4. Step 4: Simplify right side
    508,506.56x = 98,722,844,522.43
  5. Step 5: Solve for x
    x = 98,722,844,522.43/508,506.56
  6. Step 6: Final answer
    x = 194,142.72

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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.