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Finding the Fourth Proportional to 458,522.20, 686,471.10 and 406,034.20

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Solution

The fourth proportional to 458,522.20, 686,471.10 and 406,034.20 is: 607,889.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,522.20 : 686,471.10 = 406,034.20 : x
  2. Step 2: Convert to fraction form
    458,522.20/686,471.10 = 406,034.20/x
  3. Step 3: Cross multiply
    458,522.20x = 686,471.10 × 406,034.20
  4. Step 4: Simplify right side
    458,522.20x = 278,730,743,911.62
  5. Step 5: Solve for x
    x = 278,730,743,911.62/458,522.20
  6. Step 6: Final answer
    x = 607,889.31

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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.