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Finding the Fourth Proportional to 382,125.78, 527,344.29 and 220,965.30

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Solution

The fourth proportional to 382,125.78, 527,344.29 and 220,965.30 is: 304,938.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,125.78 : 527,344.29 = 220,965.30 : x
  2. Step 2: Convert to fraction form
    382,125.78/527,344.29 = 220,965.30/x
  3. Step 3: Cross multiply
    382,125.78x = 527,344.29 × 220,965.30
  4. Step 4: Simplify right side
    382,125.78x = 116,524,789,243.14
  5. Step 5: Solve for x
    x = 116,524,789,243.14/382,125.78
  6. Step 6: Final answer
    x = 304,938.31

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1.5x scale

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.