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Finding the Fourth Proportional to 400,882.80, 553,264.92 and 231,123

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Solution

The fourth proportional to 400,882.80, 553,264.92 and 231,123 is: 318,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,882.80 : 553,264.92 = 231,123 : x
  2. Step 2: Convert to fraction form
    400,882.80/553,264.92 = 231,123/x
  3. Step 3: Cross multiply
    400,882.80x = 553,264.92 × 231,123
  4. Step 4: Simplify right side
    400,882.80x = 127,872,248,105.16
  5. Step 5: Solve for x
    x = 127,872,248,105.16/400,882.80
  6. Step 6: Final answer
    x = 318,976.64

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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.