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Finding the Fourth Proportional to 431,322.40, 647,002.80 and 147,008.80

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Solution

The fourth proportional to 431,322.40, 647,002.80 and 147,008.80 is: 220,519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,322.40 : 647,002.80 = 147,008.80 : x
  2. Step 2: Convert to fraction form
    431,322.40/647,002.80 = 147,008.80/x
  3. Step 3: Cross multiply
    431,322.40x = 647,002.80 × 147,008.80
  4. Step 4: Simplify right side
    431,322.40x = 95,115,105,224.64
  5. Step 5: Solve for x
    x = 95,115,105,224.64/431,322.40
  6. Step 6: Final answer
    x = 220,519.74

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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.