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Finding the Fourth Proportional to 417,978.20, 626,883.48 and 204,654.20

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Solution

The fourth proportional to 417,978.20, 626,883.48 and 204,654.20 is: 306,940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,978.20 : 626,883.48 = 204,654.20 : x
  2. Step 2: Convert to fraction form
    417,978.20/626,883.48 = 204,654.20/x
  3. Step 3: Cross multiply
    417,978.20x = 626,883.48 × 204,654.20
  4. Step 4: Simplify right side
    417,978.20x = 128,294,337,092.62
  5. Step 5: Solve for x
    x = 128,294,337,092.62/417,978.20
  6. Step 6: Final answer
    x = 306,940.26

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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.