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Finding the Fourth Proportional to 284,140, 426,213.24 and 84,455.20

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Solution

The fourth proportional to 284,140, 426,213.24 and 84,455.20 is: 126,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,140 : 426,213.24 = 84,455.20 : x
  2. Step 2: Convert to fraction form
    284,140/426,213.24 = 84,455.20/x
  3. Step 3: Cross multiply
    284,140x = 426,213.24 × 84,455.20
  4. Step 4: Simplify right side
    284,140x = 35,995,924,426.85
  5. Step 5: Solve for x
    x = 35,995,924,426.85/284,140
  6. Step 6: Final answer
    x = 126,683.76

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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.