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Finding the Fourth Proportional to 408,287.26, 563,254.58 and 238,446.46

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Solution

The fourth proportional to 408,287.26, 563,254.58 and 238,446.46 is: 328,949.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,287.26 : 563,254.58 = 238,446.46 : x
  2. Step 2: Convert to fraction form
    408,287.26/563,254.58 = 238,446.46/x
  3. Step 3: Cross multiply
    408,287.26x = 563,254.58 × 238,446.46
  4. Step 4: Simplify right side
    408,287.26x = 134,306,060,679.79
  5. Step 5: Solve for x
    x = 134,306,060,679.79/408,287.26
  6. Step 6: Final answer
    x = 328,949.92

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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.