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Finding the Fourth Proportional to 538,180.79, 806,990.91 and 200,944.11

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Solution

The fourth proportional to 538,180.79, 806,990.91 and 200,944.11 is: 301,311.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,180.79 : 806,990.91 = 200,944.11 : x
  2. Step 2: Convert to fraction form
    538,180.79/806,990.91 = 200,944.11/x
  3. Step 3: Cross multiply
    538,180.79x = 806,990.91 × 200,944.11
  4. Step 4: Simplify right side
    538,180.79x = 162,160,070,188.04
  5. Step 5: Solve for x
    x = 162,160,070,188.04/538,180.79
  6. Step 6: Final answer
    x = 301,311.52

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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.