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Finding the Fourth Proportional to 280,269.72, 386,780.76 and 159,428.52

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Solution

The fourth proportional to 280,269.72, 386,780.76 and 159,428.52 is: 220,016.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,269.72 : 386,780.76 = 159,428.52 : x
  2. Step 2: Convert to fraction form
    280,269.72/386,780.76 = 159,428.52/x
  3. Step 3: Cross multiply
    280,269.72x = 386,780.76 × 159,428.52
  4. Step 4: Simplify right side
    280,269.72x = 61,663,884,131.28
  5. Step 5: Solve for x
    x = 61,663,884,131.28/280,269.72
  6. Step 6: Final answer
    x = 220,016.22

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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.