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Finding the Fourth Proportional to 284,245.70, 426,294.30 and 84,512.30

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Solution

The fourth proportional to 284,245.70, 426,294.30 and 84,512.30 is: 126,746.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,245.70 : 426,294.30 = 84,512.30 : x
  2. Step 2: Convert to fraction form
    284,245.70/426,294.30 = 84,512.30/x
  3. Step 3: Cross multiply
    284,245.70x = 426,294.30 × 84,512.30
  4. Step 4: Simplify right side
    284,245.70x = 36,027,111,769.89
  5. Step 5: Solve for x
    x = 36,027,111,769.89/284,245.70
  6. Step 6: Final answer
    x = 126,746.37

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1.5x scale

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.