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Finding the Fourth Proportional to 513,314.97, 769,715.46 and 158,282.85

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Solution

The fourth proportional to 513,314.97, 769,715.46 and 158,282.85 is: 237,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,314.97 : 769,715.46 = 158,282.85 : x
  2. Step 2: Convert to fraction form
    513,314.97/769,715.46 = 158,282.85/x
  3. Step 3: Cross multiply
    513,314.97x = 769,715.46 × 158,282.85
  4. Step 4: Simplify right side
    513,314.97x = 121,832,756,697.86
  5. Step 5: Solve for x
    x = 121,832,756,697.86/513,314.97
  6. Step 6: Final answer
    x = 237,345.03

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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.