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Finding the Fourth Proportional to 280,080.28, 386,544 and 159,239.80

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Solution

The fourth proportional to 280,080.28, 386,544 and 159,239.80 is: 219,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,080.28 : 386,544 = 159,239.80 : x
  2. Step 2: Convert to fraction form
    280,080.28/386,544 = 159,239.80/x
  3. Step 3: Cross multiply
    280,080.28x = 386,544 × 159,239.80
  4. Step 4: Simplify right side
    280,080.28x = 61,553,189,251.20
  5. Step 5: Solve for x
    x = 61,553,189,251.20/280,080.28
  6. Step 6: Final answer
    x = 219,769.81

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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.