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Finding the Fourth Proportional to 381,809.20, 572,713.80 and 242,186.80

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Solution

The fourth proportional to 381,809.20, 572,713.80 and 242,186.80 is: 363,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,809.20 : 572,713.80 = 242,186.80 : x
  2. Step 2: Convert to fraction form
    381,809.20/572,713.80 = 242,186.80/x
  3. Step 3: Cross multiply
    381,809.20x = 572,713.80 × 242,186.80
  4. Step 4: Simplify right side
    381,809.20x = 138,703,722,537.84
  5. Step 5: Solve for x
    x = 138,703,722,537.84/381,809.20
  6. Step 6: Final answer
    x = 363,280.20

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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.