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Finding the Fourth Proportional to 516,822.71, 775,172.57 and 137,771.87

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Solution

The fourth proportional to 516,822.71, 775,172.57 and 137,771.87 is: 206,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,822.71 : 775,172.57 = 137,771.87 : x
  2. Step 2: Convert to fraction form
    516,822.71/775,172.57 = 137,771.87/x
  3. Step 3: Cross multiply
    516,822.71x = 775,172.57 × 137,771.87
  4. Step 4: Simplify right side
    516,822.71x = 106,796,969,976.88
  5. Step 5: Solve for x
    x = 106,796,969,976.88/516,822.71
  6. Step 6: Final answer
    x = 206,641.41

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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.