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Finding the Fourth Proportional to 431,381.74, 647,076.75 and 115,838.68

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Solution

The fourth proportional to 431,381.74, 647,076.75 and 115,838.68 is: 173,759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,381.74 : 647,076.75 = 115,838.68 : x
  2. Step 2: Convert to fraction form
    431,381.74/647,076.75 = 115,838.68/x
  3. Step 3: Cross multiply
    431,381.74x = 647,076.75 × 115,838.68
  4. Step 4: Simplify right side
    431,381.74x = 74,956,516,578.69
  5. Step 5: Solve for x
    x = 74,956,516,578.69/431,381.74
  6. Step 6: Final answer
    x = 173,759.13

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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.