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Finding the Fourth Proportional to 513,231.87, 769,798.33 and 158,150.55

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Solution

The fourth proportional to 513,231.87, 769,798.33 and 158,150.55 is: 237,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,231.87 : 769,798.33 = 158,150.55 : x
  2. Step 2: Convert to fraction form
    513,231.87/769,798.33 = 158,150.55/x
  3. Step 3: Cross multiply
    513,231.87x = 769,798.33 × 158,150.55
  4. Step 4: Simplify right side
    513,231.87x = 121,744,028,883.21
  5. Step 5: Solve for x
    x = 121,744,028,883.21/513,231.87
  6. Step 6: Final answer
    x = 237,210.58

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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.