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Finding the Fourth Proportional to 557,908.26, 836,855.10 and 137,187.78

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Solution

The fourth proportional to 557,908.26, 836,855.10 and 137,187.78 is: 205,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,908.26 : 836,855.10 = 137,187.78 : x
  2. Step 2: Convert to fraction form
    557,908.26/836,855.10 = 137,187.78/x
  3. Step 3: Cross multiply
    557,908.26x = 836,855.10 × 137,187.78
  4. Step 4: Simplify right side
    557,908.26x = 114,806,293,350.68
  5. Step 5: Solve for x
    x = 114,806,293,350.68/557,908.26
  6. Step 6: Final answer
    x = 205,779.88

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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.