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Finding the Fourth Proportional to 288,562.38, 398,217.41 and 157,742.73

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Solution

The fourth proportional to 288,562.38, 398,217.41 and 157,742.73 is: 217,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,562.38 : 398,217.41 = 157,742.73 : x
  2. Step 2: Convert to fraction form
    288,562.38/398,217.41 = 157,742.73/x
  3. Step 3: Cross multiply
    288,562.38x = 398,217.41 × 157,742.73
  4. Step 4: Simplify right side
    288,562.38x = 62,815,900,598.22
  5. Step 5: Solve for x
    x = 62,815,900,598.22/288,562.38
  6. Step 6: Final answer
    x = 217,685.69

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1.5x scale

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.