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Finding the Fourth Proportional to 408,287.76, 563,255.25 and 238,446.96

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Solution

The fourth proportional to 408,287.76, 563,255.25 and 238,446.96 is: 328,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,287.76 : 563,255.25 = 238,446.96 : x
  2. Step 2: Convert to fraction form
    408,287.76/563,255.25 = 238,446.96/x
  3. Step 3: Cross multiply
    408,287.76x = 563,255.25 × 238,446.96
  4. Step 4: Simplify right side
    408,287.76x = 134,306,502,066.54
  5. Step 5: Solve for x
    x = 134,306,502,066.54/408,287.76
  6. Step 6: Final answer
    x = 328,950.60

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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.