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Finding the Fourth Proportional to 398,755.50, 550,252.00 and 229,044.30

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Solution

The fourth proportional to 398,755.50, 550,252.00 and 229,044.30 is: 316,063.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,755.50 : 550,252.00 = 229,044.30 : x
  2. Step 2: Convert to fraction form
    398,755.50/550,252.00 = 229,044.30/x
  3. Step 3: Cross multiply
    398,755.50x = 550,252.00 × 229,044.30
  4. Step 4: Simplify right side
    398,755.50x = 126,032,080,267.12
  5. Step 5: Solve for x
    x = 126,032,080,267.12/398,755.50
  6. Step 6: Final answer
    x = 316,063.56

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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.