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Finding the Fourth Proportional to 482,693.70, 724,134.90 and 145,761.78

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Solution

The fourth proportional to 482,693.70, 724,134.90 and 145,761.78 is: 218,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,693.70 : 724,134.90 = 145,761.78 : x
  2. Step 2: Convert to fraction form
    482,693.70/724,134.90 = 145,761.78/x
  3. Step 3: Cross multiply
    482,693.70x = 724,134.90 × 145,761.78
  4. Step 4: Simplify right side
    482,693.70x = 105,551,191,984.12
  5. Step 5: Solve for x
    x = 105,551,191,984.12/482,693.70
  6. Step 6: Final answer
    x = 218,671.16

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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.