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Finding the Fourth Proportional to 482,902.80, 724,321.80 and 127,909.20

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Solution

The fourth proportional to 482,902.80, 724,321.80 and 127,909.20 is: 191,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,902.80 : 724,321.80 = 127,909.20 : x
  2. Step 2: Convert to fraction form
    482,902.80/724,321.80 = 127,909.20/x
  3. Step 3: Cross multiply
    482,902.80x = 724,321.80 × 127,909.20
  4. Step 4: Simplify right side
    482,902.80x = 92,647,421,980.56
  5. Step 5: Solve for x
    x = 92,647,421,980.56/482,902.80
  6. Step 6: Final answer
    x = 191,855.22

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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.