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Finding the Fourth Proportional to 281,487.92, 388,223.16 and 200,773.04

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Solution

The fourth proportional to 281,487.92, 388,223.16 and 200,773.04 is: 276,902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,487.92 : 388,223.16 = 200,773.04 : x
  2. Step 2: Convert to fraction form
    281,487.92/388,223.16 = 200,773.04/x
  3. Step 3: Cross multiply
    281,487.92x = 388,223.16 × 200,773.04
  4. Step 4: Simplify right side
    281,487.92x = 77,944,744,031.61
  5. Step 5: Solve for x
    x = 77,944,744,031.61/281,487.92
  6. Step 6: Final answer
    x = 276,902.63

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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.