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Finding the Fourth Proportional to 422,686.54, 634,107.57 and 138,393.01

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Solution

The fourth proportional to 422,686.54, 634,107.57 and 138,393.01 is: 207,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,686.54 : 634,107.57 = 138,393.01 : x
  2. Step 2: Convert to fraction form
    422,686.54/634,107.57 = 138,393.01/x
  3. Step 3: Cross multiply
    422,686.54x = 634,107.57 × 138,393.01
  4. Step 4: Simplify right side
    422,686.54x = 87,756,055,276.09
  5. Step 5: Solve for x
    x = 87,756,055,276.09/422,686.54
  6. Step 6: Final answer
    x = 207,614.97

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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.