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Finding the Fourth Proportional to 482,686.10, 724,146.20 and 145,706.61

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Solution

The fourth proportional to 482,686.10, 724,146.20 and 145,706.61 is: 218,595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,686.10 : 724,146.20 = 145,706.61 : x
  2. Step 2: Convert to fraction form
    482,686.10/724,146.20 = 145,706.61/x
  3. Step 3: Cross multiply
    482,686.10x = 724,146.20 × 145,706.61
  4. Step 4: Simplify right side
    482,686.10x = 105,512,887,217.85
  5. Step 5: Solve for x
    x = 105,512,887,217.85/482,686.10
  6. Step 6: Final answer
    x = 218,595.25

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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.