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Finding the Fourth Proportional to 410,091.20, 615,136.80 and 251,806.40

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Solution

The fourth proportional to 410,091.20, 615,136.80 and 251,806.40 is: 377,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,091.20 : 615,136.80 = 251,806.40 : x
  2. Step 2: Convert to fraction form
    410,091.20/615,136.80 = 251,806.40/x
  3. Step 3: Cross multiply
    410,091.20x = 615,136.80 × 251,806.40
  4. Step 4: Simplify right side
    410,091.20x = 154,895,383,115.52
  5. Step 5: Solve for x
    x = 154,895,383,115.52/410,091.20
  6. Step 6: Final answer
    x = 377,709.60

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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.