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Finding the Fourth Proportional to 431,568.60, 647,691.90 and 299,379.08

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Solution

The fourth proportional to 431,568.60, 647,691.90 and 299,379.08 is: 449,303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,568.60 : 647,691.90 = 299,379.08 : x
  2. Step 2: Convert to fraction form
    431,568.60/647,691.90 = 299,379.08/x
  3. Step 3: Cross multiply
    431,568.60x = 647,691.90 × 299,379.08
  4. Step 4: Simplify right side
    431,568.60x = 193,905,405,145.45
  5. Step 5: Solve for x
    x = 193,905,405,145.45/431,568.60
  6. Step 6: Final answer
    x = 449,303.78

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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.