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Finding the Fourth Proportional to 408,881.40, 564,256.29 and 227,589.42

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Solution

The fourth proportional to 408,881.40, 564,256.29 and 227,589.42 is: 314,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,881.40 : 564,256.29 = 227,589.42 : x
  2. Step 2: Convert to fraction form
    408,881.40/564,256.29 = 227,589.42/x
  3. Step 3: Cross multiply
    408,881.40x = 564,256.29 × 227,589.42
  4. Step 4: Simplify right side
    408,881.40x = 128,418,761,772.45
  5. Step 5: Solve for x
    x = 128,418,761,772.45/408,881.40
  6. Step 6: Final answer
    x = 314,073.38

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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.