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Finding the Fourth Proportional to 419,654.55, 579,105.17 and 238,365.92

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Solution

The fourth proportional to 419,654.55, 579,105.17 and 238,365.92 is: 328,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,654.55 : 579,105.17 = 238,365.92 : x
  2. Step 2: Convert to fraction form
    419,654.55/579,105.17 = 238,365.92/x
  3. Step 3: Cross multiply
    419,654.55x = 579,105.17 × 238,365.92
  4. Step 4: Simplify right side
    419,654.55x = 138,038,933,728.28
  5. Step 5: Solve for x
    x = 138,038,933,728.28/419,654.55
  6. Step 6: Final answer
    x = 328,934.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.