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Finding the Fourth Proportional to 538,144.80, 806,641.20 and 182,829.60

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Solution

The fourth proportional to 538,144.80, 806,641.20 and 182,829.60 is: 274,048.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,144.80 : 806,641.20 = 182,829.60 : x
  2. Step 2: Convert to fraction form
    538,144.80/806,641.20 = 182,829.60/x
  3. Step 3: Cross multiply
    538,144.80x = 806,641.20 × 182,829.60
  4. Step 4: Simplify right side
    538,144.80x = 147,477,887,939.52
  5. Step 5: Solve for x
    x = 147,477,887,939.52/538,144.80
  6. Step 6: Final answer
    x = 274,048.71

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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.