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Finding the Fourth Proportional to 382,220.52, 527,483.02 and 212,451

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Solution

The fourth proportional to 382,220.52, 527,483.02 and 212,451 is: 293,192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,220.52 : 527,483.02 = 212,451 : x
  2. Step 2: Convert to fraction form
    382,220.52/527,483.02 = 212,451/x
  3. Step 3: Cross multiply
    382,220.52x = 527,483.02 × 212,451
  4. Step 4: Simplify right side
    382,220.52x = 112,064,295,082.02
  5. Step 5: Solve for x
    x = 112,064,295,082.02/382,220.52
  6. Step 6: Final answer
    x = 293,192.78

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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.