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Finding the Fourth Proportional to 382,217.52, 527,478.88 and 212,448

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Solution

The fourth proportional to 382,217.52, 527,478.88 and 212,448 is: 293,188.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,217.52 : 527,478.88 = 212,448 : x
  2. Step 2: Convert to fraction form
    382,217.52/527,478.88 = 212,448/x
  3. Step 3: Cross multiply
    382,217.52x = 527,478.88 × 212,448
  4. Step 4: Simplify right side
    382,217.52x = 112,061,833,098.24
  5. Step 5: Solve for x
    x = 112,061,833,098.24/382,217.52
  6. Step 6: Final answer
    x = 293,188.64

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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.