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Finding the Fourth Proportional to 431,716.20, 647,574.30 and 407,221.80

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Solution

The fourth proportional to 431,716.20, 647,574.30 and 407,221.80 is: 610,832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,716.20 : 647,574.30 = 407,221.80 : x
  2. Step 2: Convert to fraction form
    431,716.20/647,574.30 = 407,221.80/x
  3. Step 3: Cross multiply
    431,716.20x = 647,574.30 × 407,221.80
  4. Step 4: Simplify right side
    431,716.20x = 263,706,372,079.74
  5. Step 5: Solve for x
    x = 263,706,372,079.74/431,716.20
  6. Step 6: Final answer
    x = 610,832.70

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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.