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Finding the Fourth Proportional to 284,246.70, 426,295.80 and 84,513.30

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Solution

The fourth proportional to 284,246.70, 426,295.80 and 84,513.30 is: 126,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,246.70 : 426,295.80 = 84,513.30 : x
  2. Step 2: Convert to fraction form
    284,246.70/426,295.80 = 84,513.30/x
  3. Step 3: Cross multiply
    284,246.70x = 426,295.80 × 84,513.30
  4. Step 4: Simplify right side
    284,246.70x = 36,027,664,834.14
  5. Step 5: Solve for x
    x = 36,027,664,834.14/284,246.70
  6. Step 6: Final answer
    x = 126,747.87

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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.