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Finding the Fourth Proportional to 313,422, 432,522.36 and 179,286

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Solution

The fourth proportional to 313,422, 432,522.36 and 179,286 is: 247,414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,422 : 432,522.36 = 179,286 : x
  2. Step 2: Convert to fraction form
    313,422/432,522.36 = 179,286/x
  3. Step 3: Cross multiply
    313,422x = 432,522.36 × 179,286
  4. Step 4: Simplify right side
    313,422x = 77,545,203,834.96
  5. Step 5: Solve for x
    x = 77,545,203,834.96/313,422
  6. Step 6: Final answer
    x = 247,414.68

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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.