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Finding the Fourth Proportional to 516,859.18, 775,288.31 and 161,900.88

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Solution

The fourth proportional to 516,859.18, 775,288.31 and 161,900.88 is: 242,851.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,859.18 : 775,288.31 = 161,900.88 : x
  2. Step 2: Convert to fraction form
    516,859.18/775,288.31 = 161,900.88/x
  3. Step 3: Cross multiply
    516,859.18x = 775,288.31 × 161,900.88
  4. Step 4: Simplify right side
    516,859.18x = 125,519,856,836.57
  5. Step 5: Solve for x
    x = 125,519,856,836.57/516,859.18
  6. Step 6: Final answer
    x = 242,851.17

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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.