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Finding the Fourth Proportional to 431,727.40, 647,591.10 and 245,103.40

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Solution

The fourth proportional to 431,727.40, 647,591.10 and 245,103.40 is: 367,655.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,727.40 : 647,591.10 = 245,103.40 : x
  2. Step 2: Convert to fraction form
    431,727.40/647,591.10 = 245,103.40/x
  3. Step 3: Cross multiply
    431,727.40x = 647,591.10 × 245,103.40
  4. Step 4: Simplify right side
    431,727.40x = 158,726,780,419.74
  5. Step 5: Solve for x
    x = 158,726,780,419.74/431,727.40
  6. Step 6: Final answer
    x = 367,655.10

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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.