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Finding the Fourth Proportional to 280,883.31, 421,239.28 and 147,691.31

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Solution

The fourth proportional to 280,883.31, 421,239.28 and 147,691.31 is: 221,491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,883.31 : 421,239.28 = 147,691.31 : x
  2. Step 2: Convert to fraction form
    280,883.31/421,239.28 = 147,691.31/x
  3. Step 3: Cross multiply
    280,883.31x = 421,239.28 × 147,691.31
  4. Step 4: Simplify right side
    280,883.31x = 62,213,381,086.66
  5. Step 5: Solve for x
    x = 62,213,381,086.66/280,883.31
  6. Step 6: Final answer
    x = 221,491.91

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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.