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Finding the Fourth Proportional to 431,654, 647,540.09 and 147,268.20

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Solution

The fourth proportional to 431,654, 647,540.09 and 147,268.20 is: 220,922.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,654 : 647,540.09 = 147,268.20 : x
  2. Step 2: Convert to fraction form
    431,654/647,540.09 = 147,268.20/x
  3. Step 3: Cross multiply
    431,654x = 647,540.09 × 147,268.20
  4. Step 4: Simplify right side
    431,654x = 95,362,063,482.14
  5. Step 5: Solve for x
    x = 95,362,063,482.14/431,654
  6. Step 6: Final answer
    x = 220,922.46

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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.