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Finding the Fourth Proportional to 513,236.62, 769,805.44 and 158,155.30

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Solution

The fourth proportional to 513,236.62, 769,805.44 and 158,155.30 is: 237,217.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,236.62 : 769,805.44 = 158,155.30 : x
  2. Step 2: Convert to fraction form
    513,236.62/769,805.44 = 158,155.30/x
  3. Step 3: Cross multiply
    513,236.62x = 769,805.44 × 158,155.30
  4. Step 4: Simplify right side
    513,236.62x = 121,748,810,304.83
  5. Step 5: Solve for x
    x = 121,748,810,304.83/513,236.62
  6. Step 6: Final answer
    x = 237,217.70

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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.