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Finding the Fourth Proportional to 280,553.28, 387,147.84 and 159,724

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Solution

The fourth proportional to 280,553.28, 387,147.84 and 159,724 is: 220,410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,553.28 : 387,147.84 = 159,724 : x
  2. Step 2: Convert to fraction form
    280,553.28/387,147.84 = 159,724/x
  3. Step 3: Cross multiply
    280,553.28x = 387,147.84 × 159,724
  4. Step 4: Simplify right side
    280,553.28x = 61,836,801,596.16
  5. Step 5: Solve for x
    x = 61,836,801,596.16/280,553.28
  6. Step 6: Final answer
    x = 220,410.19

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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.