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Finding the Fourth Proportional to 431,185.16, 646,872.41 and 127,555.55

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Solution

The fourth proportional to 431,185.16, 646,872.41 and 127,555.55 is: 191,361.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,185.16 : 646,872.41 = 127,555.55 : x
  2. Step 2: Convert to fraction form
    431,185.16/646,872.41 = 127,555.55/x
  3. Step 3: Cross multiply
    431,185.16x = 646,872.41 × 127,555.55
  4. Step 4: Simplify right side
    431,185.16x = 82,512,162,165.24
  5. Step 5: Solve for x
    x = 82,512,162,165.24/431,185.16
  6. Step 6: Final answer
    x = 191,361.32

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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.