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Finding the Fourth Proportional to 431,534.94, 647,279.00 and 132,015.56

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Solution

The fourth proportional to 431,534.94, 647,279.00 and 132,015.56 is: 198,016.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,534.94 : 647,279.00 = 132,015.56 : x
  2. Step 2: Convert to fraction form
    431,534.94/647,279.00 = 132,015.56/x
  3. Step 3: Cross multiply
    431,534.94x = 647,279.00 × 132,015.56
  4. Step 4: Simplify right side
    431,534.94x = 85,450,896,259.83
  5. Step 5: Solve for x
    x = 85,450,896,259.83/431,534.94
  6. Step 6: Final answer
    x = 198,016.17

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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.