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Finding the Fourth Proportional to 218,695.20, 328,042.80 and 200,032.80

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Solution

The fourth proportional to 218,695.20, 328,042.80 and 200,032.80 is: 300,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,695.20 : 328,042.80 = 200,032.80 : x
  2. Step 2: Convert to fraction form
    218,695.20/328,042.80 = 200,032.80/x
  3. Step 3: Cross multiply
    218,695.20x = 328,042.80 × 200,032.80
  4. Step 4: Simplify right side
    218,695.20x = 65,619,319,803.84
  5. Step 5: Solve for x
    x = 65,619,319,803.84/218,695.20
  6. Step 6: Final answer
    x = 300,049.20

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1.5x scale

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.