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Finding the Fourth Proportional to 378,452.11, 567,678.17 and 153,934.69

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Solution

The fourth proportional to 378,452.11, 567,678.17 and 153,934.69 is: 230,902.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,452.11 : 567,678.17 = 153,934.69 : x
  2. Step 2: Convert to fraction form
    378,452.11/567,678.17 = 153,934.69/x
  3. Step 3: Cross multiply
    378,452.11x = 567,678.17 × 153,934.69
  4. Step 4: Simplify right side
    378,452.11x = 87,385,362,282.87
  5. Step 5: Solve for x
    x = 87,385,362,282.87/378,452.11
  6. Step 6: Final answer
    x = 230,902.04

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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.