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Finding the Fourth Proportional to 431,530.70, 647,295.10 and 115,987.59

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Solution

The fourth proportional to 431,530.70, 647,295.10 and 115,987.59 is: 173,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,530.70 : 647,295.10 = 115,987.59 : x
  2. Step 2: Convert to fraction form
    431,530.70/647,295.10 = 115,987.59/x
  3. Step 3: Cross multiply
    431,530.70x = 647,295.10 × 115,987.59
  4. Step 4: Simplify right side
    431,530.70x = 75,078,198,377.84
  5. Step 5: Solve for x
    x = 75,078,198,377.84/431,530.70
  6. Step 6: Final answer
    x = 173,981.13

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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.