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Finding the Fourth Proportional to 486,920.70, 731,609.85 and 309,512.70

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Solution

The fourth proportional to 486,920.70, 731,609.85 and 309,512.70 is: 465,050.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,920.70 : 731,609.85 = 309,512.70 : x
  2. Step 2: Convert to fraction form
    486,920.70/731,609.85 = 309,512.70/x
  3. Step 3: Cross multiply
    486,920.70x = 731,609.85 × 309,512.70
  4. Step 4: Simplify right side
    486,920.70x = 226,442,540,020.10
  5. Step 5: Solve for x
    x = 226,442,540,020.10/486,920.70
  6. Step 6: Final answer
    x = 465,050.14

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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.