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Finding the Fourth Proportional to 431,449.38, 647,130.33 and 115,865.28

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Solution

The fourth proportional to 431,449.38, 647,130.33 and 115,865.28 is: 173,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,449.38 : 647,130.33 = 115,865.28 : x
  2. Step 2: Convert to fraction form
    431,449.38/647,130.33 = 115,865.28/x
  3. Step 3: Cross multiply
    431,449.38x = 647,130.33 × 115,865.28
  4. Step 4: Simplify right side
    431,449.38x = 74,979,936,881.94
  5. Step 5: Solve for x
    x = 74,979,936,881.94/431,449.38
  6. Step 6: Final answer
    x = 173,786.17

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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.