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Finding the Fourth Proportional to 521,172, 781,761.24 and 147,198.24

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Solution

The fourth proportional to 521,172, 781,761.24 and 147,198.24 is: 220,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,172 : 781,761.24 = 147,198.24 : x
  2. Step 2: Convert to fraction form
    521,172/781,761.24 = 147,198.24/x
  3. Step 3: Cross multiply
    521,172x = 781,761.24 × 147,198.24
  4. Step 4: Simplify right side
    521,172x = 115,073,878,628.22
  5. Step 5: Solve for x
    x = 115,073,878,628.22/521,172
  6. Step 6: Final answer
    x = 220,798.28

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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.