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Finding the Fourth Proportional to 431,966.51, 647,947.03 and 147,519.82

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Solution

The fourth proportional to 431,966.51, 647,947.03 and 147,519.82 is: 221,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,966.51 : 647,947.03 = 147,519.82 : x
  2. Step 2: Convert to fraction form
    431,966.51/647,947.03 = 147,519.82/x
  3. Step 3: Cross multiply
    431,966.51x = 647,947.03 × 147,519.82
  4. Step 4: Simplify right side
    431,966.51x = 95,585,029,235.13
  5. Step 5: Solve for x
    x = 95,585,029,235.13/431,966.51
  6. Step 6: Final answer
    x = 221,278.80

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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.