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Finding the Fourth Proportional to 431,622.32, 647,832.78 and 218,540

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Solution

The fourth proportional to 431,622.32, 647,832.78 and 218,540 is: 328,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,622.32 : 647,832.78 = 218,540 : x
  2. Step 2: Convert to fraction form
    431,622.32/647,832.78 = 218,540/x
  3. Step 3: Cross multiply
    431,622.32x = 647,832.78 × 218,540
  4. Step 4: Simplify right side
    431,622.32x = 141,577,375,741.20
  5. Step 5: Solve for x
    x = 141,577,375,741.20/431,622.32
  6. Step 6: Final answer
    x = 328,012.17

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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.