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Finding the Fourth Proportional to 284,200.40, 426,454.20 and 126,453.20

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Solution

The fourth proportional to 284,200.40, 426,454.20 and 126,453.20 is: 189,748.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,200.40 : 426,454.20 = 126,453.20 : x
  2. Step 2: Convert to fraction form
    284,200.40/426,454.20 = 126,453.20/x
  3. Step 3: Cross multiply
    284,200.40x = 426,454.20 × 126,453.20
  4. Step 4: Simplify right side
    284,200.40x = 53,926,498,243.44
  5. Step 5: Solve for x
    x = 53,926,498,243.44/284,200.40
  6. Step 6: Final answer
    x = 189,748.14

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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.