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Finding the Fourth Proportional to 382,297.75, 527,571.51 and 212,531.88

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Solution

The fourth proportional to 382,297.75, 527,571.51 and 212,531.88 is: 293,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,297.75 : 527,571.51 = 212,531.88 : x
  2. Step 2: Convert to fraction form
    382,297.75/527,571.51 = 212,531.88/x
  3. Step 3: Cross multiply
    382,297.75x = 527,571.51 × 212,531.88
  4. Step 4: Simplify right side
    382,297.75x = 112,125,764,854.74
  5. Step 5: Solve for x
    x = 112,125,764,854.74/382,297.75
  6. Step 6: Final answer
    x = 293,294.34

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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.