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Finding the Fourth Proportional to 284,140.80, 426,057.60 and 117,945.60

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Solution

The fourth proportional to 284,140.80, 426,057.60 and 117,945.60 is: 176,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,140.80 : 426,057.60 = 117,945.60 : x
  2. Step 2: Convert to fraction form
    284,140.80/426,057.60 = 117,945.60/x
  3. Step 3: Cross multiply
    284,140.80x = 426,057.60 × 117,945.60
  4. Step 4: Simplify right side
    284,140.80x = 50,251,619,266.56
  5. Step 5: Solve for x
    x = 50,251,619,266.56/284,140.80
  6. Step 6: Final answer
    x = 176,854.64

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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.