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Finding the Fourth Proportional to 420,102.92, 579,791.85 and 238,842.20

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Solution

The fourth proportional to 420,102.92, 579,791.85 and 238,842.20 is: 329,630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,102.92 : 579,791.85 = 238,842.20 : x
  2. Step 2: Convert to fraction form
    420,102.92/579,791.85 = 238,842.20/x
  3. Step 3: Cross multiply
    420,102.92x = 579,791.85 × 238,842.20
  4. Step 4: Simplify right side
    420,102.92x = 138,478,760,996.07
  5. Step 5: Solve for x
    x = 138,478,760,996.07/420,102.92
  6. Step 6: Final answer
    x = 329,630.56

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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.