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Finding the Fourth Proportional to 280,074.28, 386,535.72 and 159,233.80

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Solution

The fourth proportional to 280,074.28, 386,535.72 and 159,233.80 is: 219,761.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,074.28 : 386,535.72 = 159,233.80 : x
  2. Step 2: Convert to fraction form
    280,074.28/386,535.72 = 159,233.80/x
  3. Step 3: Cross multiply
    280,074.28x = 386,535.72 × 159,233.80
  4. Step 4: Simplify right side
    280,074.28x = 61,549,551,531.34
  5. Step 5: Solve for x
    x = 61,549,551,531.34/280,074.28
  6. Step 6: Final answer
    x = 219,761.53

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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.