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Finding the Fourth Proportional to 557,903.26, 836,847.60 and 137,182.78

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Solution

The fourth proportional to 557,903.26, 836,847.60 and 137,182.78 is: 205,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,903.26 : 836,847.60 = 137,182.78 : x
  2. Step 2: Convert to fraction form
    557,903.26/836,847.60 = 137,182.78/x
  3. Step 3: Cross multiply
    557,903.26x = 836,847.60 × 137,182.78
  4. Step 4: Simplify right side
    557,903.26x = 114,801,080,204.33
  5. Step 5: Solve for x
    x = 114,801,080,204.33/557,903.26
  6. Step 6: Final answer
    x = 205,772.38

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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.