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Finding the Fourth Proportional to 284,180.56, 426,270.72 and 84,500.08

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Solution

The fourth proportional to 284,180.56, 426,270.72 and 84,500.08 is: 126,750.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,180.56 : 426,270.72 = 84,500.08 : x
  2. Step 2: Convert to fraction form
    284,180.56/426,270.72 = 84,500.08/x
  3. Step 3: Cross multiply
    284,180.56x = 426,270.72 × 84,500.08
  4. Step 4: Simplify right side
    284,180.56x = 36,019,909,941.66
  5. Step 5: Solve for x
    x = 36,019,909,941.66/284,180.56
  6. Step 6: Final answer
    x = 126,750.08

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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.