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Finding the Fourth Proportional to 381,969.60, 573,040.80 and 224,116.80

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Solution

The fourth proportional to 381,969.60, 573,040.80 and 224,116.80 is: 336,225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,969.60 : 573,040.80 = 224,116.80 : x
  2. Step 2: Convert to fraction form
    381,969.60/573,040.80 = 224,116.80/x
  3. Step 3: Cross multiply
    381,969.60x = 573,040.80 × 224,116.80
  4. Step 4: Simplify right side
    381,969.60x = 128,428,070,365.44
  5. Step 5: Solve for x
    x = 128,428,070,365.44/381,969.60
  6. Step 6: Final answer
    x = 336,225.89

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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.