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Finding the Fourth Proportional to 381,973.20, 572,959.80 and 221,884.80

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Solution

The fourth proportional to 381,973.20, 572,959.80 and 221,884.80 is: 332,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,973.20 : 572,959.80 = 221,884.80 : x
  2. Step 2: Convert to fraction form
    381,973.20/572,959.80 = 221,884.80/x
  3. Step 3: Cross multiply
    381,973.20x = 572,959.80 × 221,884.80
  4. Step 4: Simplify right side
    381,973.20x = 127,131,070,631.04
  5. Step 5: Solve for x
    x = 127,131,070,631.04/381,973.20
  6. Step 6: Final answer
    x = 332,827.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.