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Finding the Fourth Proportional to 513,358.43, 769,978.78 and 134,315.75

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Solution

The fourth proportional to 513,358.43, 769,978.78 and 134,315.75 is: 201,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,358.43 : 769,978.78 = 134,315.75 : x
  2. Step 2: Convert to fraction form
    513,358.43/769,978.78 = 134,315.75/x
  3. Step 3: Cross multiply
    513,358.43x = 769,978.78 × 134,315.75
  4. Step 4: Simplify right side
    513,358.43x = 103,420,278,908.94
  5. Step 5: Solve for x
    x = 103,420,278,908.94/513,358.43
  6. Step 6: Final answer
    x = 201,458.23

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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.