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Finding the Fourth Proportional to 378,442, 567,663 and 153,924.58

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Solution

The fourth proportional to 378,442, 567,663 and 153,924.58 is: 230,886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,442 : 567,663 = 153,924.58 : x
  2. Step 2: Convert to fraction form
    378,442/567,663 = 153,924.58/x
  3. Step 3: Cross multiply
    378,442x = 567,663 × 153,924.58
  4. Step 4: Simplify right side
    378,442x = 87,377,288,856.54
  5. Step 5: Solve for x
    x = 87,377,288,856.54/378,442
  6. Step 6: Final answer
    x = 230,886.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.