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Finding the Fourth Proportional to 381,971.60, 573,043.80 and 224,118.80

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Solution

The fourth proportional to 381,971.60, 573,043.80 and 224,118.80 is: 336,228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,971.60 : 573,043.80 = 224,118.80 : x
  2. Step 2: Convert to fraction form
    381,971.60/573,043.80 = 224,118.80/x
  3. Step 3: Cross multiply
    381,971.60x = 573,043.80 × 224,118.80
  4. Step 4: Simplify right side
    381,971.60x = 128,429,888,803.44
  5. Step 5: Solve for x
    x = 128,429,888,803.44/381,971.60
  6. Step 6: Final answer
    x = 336,228.89

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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.