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Finding the Fourth Proportional to 253,872.13, 380,433.84 and 141,397.42

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Solution

The fourth proportional to 253,872.13, 380,433.84 and 141,397.42 is: 211,887.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,872.13 : 380,433.84 = 141,397.42 : x
  2. Step 2: Convert to fraction form
    253,872.13/380,433.84 = 141,397.42/x
  3. Step 3: Cross multiply
    253,872.13x = 380,433.84 × 141,397.42
  4. Step 4: Simplify right side
    253,872.13x = 53,792,363,456.69
  5. Step 5: Solve for x
    x = 53,792,363,456.69/253,872.13
  6. Step 6: Final answer
    x = 211,887.63

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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.