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Finding the Fourth Proportional to 284,005.80, 426,008.70 and 282,162.60

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Solution

The fourth proportional to 284,005.80, 426,008.70 and 282,162.60 is: 423,243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,005.80 : 426,008.70 = 282,162.60 : x
  2. Step 2: Convert to fraction form
    284,005.80/426,008.70 = 282,162.60/x
  3. Step 3: Cross multiply
    284,005.80x = 426,008.70 × 282,162.60
  4. Step 4: Simplify right side
    284,005.80x = 120,203,722,414.62
  5. Step 5: Solve for x
    x = 120,203,722,414.62/284,005.80
  6. Step 6: Final answer
    x = 423,243.90

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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.