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Finding the Fourth Proportional to 381,844.80, 572,767.20 and 328,190.40

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Solution

The fourth proportional to 381,844.80, 572,767.20 and 328,190.40 is: 492,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,844.80 : 572,767.20 = 328,190.40 : x
  2. Step 2: Convert to fraction form
    381,844.80/572,767.20 = 328,190.40/x
  3. Step 3: Cross multiply
    381,844.80x = 572,767.20 × 328,190.40
  4. Step 4: Simplify right side
    381,844.80x = 187,976,696,474.88
  5. Step 5: Solve for x
    x = 187,976,696,474.88/381,844.80
  6. Step 6: Final answer
    x = 492,285.60

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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.