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Finding the Fourth Proportional to 421,959.43, 582,310.94 and 238,207.69

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Solution

The fourth proportional to 421,959.43, 582,310.94 and 238,207.69 is: 328,730.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,959.43 : 582,310.94 = 238,207.69 : x
  2. Step 2: Convert to fraction form
    421,959.43/582,310.94 = 238,207.69/x
  3. Step 3: Cross multiply
    421,959.43x = 582,310.94 × 238,207.69
  4. Step 4: Simplify right side
    421,959.43x = 138,710,944,755.90
  5. Step 5: Solve for x
    x = 138,710,944,755.90/421,959.43
  6. Step 6: Final answer
    x = 328,730.52

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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.