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Finding the Fourth Proportional to 412,396.59, 618,443.16 and 142,456.04

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Solution

The fourth proportional to 412,396.59, 618,443.16 and 142,456.04 is: 213,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,396.59 : 618,443.16 = 142,456.04 : x
  2. Step 2: Convert to fraction form
    412,396.59/618,443.16 = 142,456.04/x
  3. Step 3: Cross multiply
    412,396.59x = 618,443.16 × 142,456.04
  4. Step 4: Simplify right side
    412,396.59x = 88,100,960,446.47
  5. Step 5: Solve for x
    x = 88,100,960,446.47/412,396.59
  6. Step 6: Final answer
    x = 213,631.64

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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.