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Finding the Fourth Proportional to 382,132.32, 527,338.80 and 212,363.04

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Solution

The fourth proportional to 382,132.32, 527,338.80 and 212,363.04 is: 293,058.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,132.32 : 527,338.80 = 212,363.04 : x
  2. Step 2: Convert to fraction form
    382,132.32/527,338.80 = 212,363.04/x
  3. Step 3: Cross multiply
    382,132.32x = 527,338.80 × 212,363.04
  4. Step 4: Simplify right side
    382,132.32x = 111,987,270,677.95
  5. Step 5: Solve for x
    x = 111,987,270,677.95/382,132.32
  6. Step 6: Final answer
    x = 293,058.88

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