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Finding the Fourth Proportional to 281,553.32, 421,348.20 and 230,360.70

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Solution

The fourth proportional to 281,553.32, 421,348.20 and 230,360.70 is: 344,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,553.32 : 421,348.20 = 230,360.70 : x
  2. Step 2: Convert to fraction form
    281,553.32/421,348.20 = 230,360.70/x
  3. Step 3: Cross multiply
    281,553.32x = 421,348.20 × 230,360.70
  4. Step 4: Simplify right side
    281,553.32x = 97,062,066,295.74
  5. Step 5: Solve for x
    x = 97,062,066,295.74/281,553.32
  6. Step 6: Final answer
    x = 344,737.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.