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Finding the Fourth Proportional to 310,458.36, 465,690.42 and 123,517.56

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Solution

The fourth proportional to 310,458.36, 465,690.42 and 123,517.56 is: 185,277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,458.36 : 465,690.42 = 123,517.56 : x
  2. Step 2: Convert to fraction form
    310,458.36/465,690.42 = 123,517.56/x
  3. Step 3: Cross multiply
    310,458.36x = 465,690.42 × 123,517.56
  4. Step 4: Simplify right side
    310,458.36x = 57,520,944,393.78
  5. Step 5: Solve for x
    x = 57,520,944,393.78/310,458.36
  6. Step 6: Final answer
    x = 185,277.49

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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.