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Finding the Fourth Proportional to 422,065.99, 633,165.20 and 137,690.91

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Solution

The fourth proportional to 422,065.99, 633,165.20 and 137,690.91 is: 206,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,065.99 : 633,165.20 = 137,690.91 : x
  2. Step 2: Convert to fraction form
    422,065.99/633,165.20 = 137,690.91/x
  3. Step 3: Cross multiply
    422,065.99x = 633,165.20 × 137,690.91
  4. Step 4: Simplify right side
    422,065.99x = 87,181,094,951.51
  5. Step 5: Solve for x
    x = 87,181,094,951.51/422,065.99
  6. Step 6: Final answer
    x = 206,557.97

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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.