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Finding the Fourth Proportional to 313,589, 432,752.82 and 172,277

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Solution

The fourth proportional to 313,589, 432,752.82 and 172,277 is: 237,742.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,589 : 432,752.82 = 172,277 : x
  2. Step 2: Convert to fraction form
    313,589/432,752.82 = 172,277/x
  3. Step 3: Cross multiply
    313,589x = 432,752.82 × 172,277
  4. Step 4: Simplify right side
    313,589x = 74,553,357,571.14
  5. Step 5: Solve for x
    x = 74,553,357,571.14/313,589
  6. Step 6: Final answer
    x = 237,742.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.