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Finding the Fourth Proportional to 482,768.68, 724,158.34 and 145,812.20

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Solution

The fourth proportional to 482,768.68, 724,158.34 and 145,812.20 is: 218,719.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,768.68 : 724,158.34 = 145,812.20 : x
  2. Step 2: Convert to fraction form
    482,768.68/724,158.34 = 145,812.20/x
  3. Step 3: Cross multiply
    482,768.68x = 724,158.34 × 145,812.20
  4. Step 4: Simplify right side
    482,768.68x = 105,591,120,703.75
  5. Step 5: Solve for x
    x = 105,591,120,703.75/482,768.68
  6. Step 6: Final answer
    x = 218,719.91

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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.