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Finding the Fourth Proportional to 288,781.02, 398,506.14 and 159,711

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Solution

The fourth proportional to 288,781.02, 398,506.14 and 159,711 is: 220,394.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,781.02 : 398,506.14 = 159,711 : x
  2. Step 2: Convert to fraction form
    288,781.02/398,506.14 = 159,711/x
  3. Step 3: Cross multiply
    288,781.02x = 398,506.14 × 159,711
  4. Step 4: Simplify right side
    288,781.02x = 63,645,814,125.54
  5. Step 5: Solve for x
    x = 63,645,814,125.54/288,781.02
  6. Step 6: Final answer
    x = 220,394.73

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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.