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Finding the Fourth Proportional to 381,642.40, 572,002.80 and 194,557.60

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Solution

The fourth proportional to 381,642.40, 572,002.80 and 194,557.60 is: 291,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,642.40 : 572,002.80 = 194,557.60 : x
  2. Step 2: Convert to fraction form
    381,642.40/572,002.80 = 194,557.60/x
  3. Step 3: Cross multiply
    381,642.40x = 572,002.80 × 194,557.60
  4. Step 4: Simplify right side
    381,642.40x = 111,287,491,961.28
  5. Step 5: Solve for x
    x = 111,287,491,961.28/381,642.40
  6. Step 6: Final answer
    x = 291,601.49

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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.