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Finding the Fourth Proportional to 482,920.20, 724,841.10 and 412,878.60

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Solution

The fourth proportional to 482,920.20, 724,841.10 and 412,878.60 is: 619,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,920.20 : 724,841.10 = 412,878.60 : x
  2. Step 2: Convert to fraction form
    482,920.20/724,841.10 = 412,878.60/x
  3. Step 3: Cross multiply
    482,920.20x = 724,841.10 × 412,878.60
  4. Step 4: Simplify right side
    482,920.20x = 299,271,378,590.46
  5. Step 5: Solve for x
    x = 299,271,378,590.46/482,920.20
  6. Step 6: Final answer
    x = 619,711.87

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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.