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Finding the Fourth Proportional to 431,182.64, 646,724.41 and 115,614.74

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Solution

The fourth proportional to 431,182.64, 646,724.41 and 115,614.74 is: 173,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,182.64 : 646,724.41 = 115,614.74 : x
  2. Step 2: Convert to fraction form
    431,182.64/646,724.41 = 115,614.74/x
  3. Step 3: Cross multiply
    431,182.64x = 646,724.41 × 115,614.74
  4. Step 4: Simplify right side
    431,182.64x = 74,770,874,513.80
  5. Step 5: Solve for x
    x = 74,770,874,513.80/431,182.64
  6. Step 6: Final answer
    x = 173,408.82

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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.