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Finding the Fourth Proportional to 431,803.40, 647,686.44 and 147,519.32

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Solution

The fourth proportional to 431,803.40, 647,686.44 and 147,519.32 is: 221,272.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,803.40 : 647,686.44 = 147,519.32 : x
  2. Step 2: Convert to fraction form
    431,803.40/647,686.44 = 147,519.32/x
  3. Step 3: Cross multiply
    431,803.40x = 647,686.44 × 147,519.32
  4. Step 4: Simplify right side
    431,803.40x = 95,546,259,963.59
  5. Step 5: Solve for x
    x = 95,546,259,963.59/431,803.40
  6. Step 6: Final answer
    x = 221,272.60

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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.