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Finding the Fourth Proportional to 422,178.76, 633,307.07 and 137,870.80

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Solution

The fourth proportional to 422,178.76, 633,307.07 and 137,870.80 is: 206,818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,178.76 : 633,307.07 = 137,870.80 : x
  2. Step 2: Convert to fraction form
    422,178.76/633,307.07 = 137,870.80/x
  3. Step 3: Cross multiply
    422,178.76x = 633,307.07 × 137,870.80
  4. Step 4: Simplify right side
    422,178.76x = 87,314,551,147.97
  5. Step 5: Solve for x
    x = 87,314,551,147.97/422,178.76
  6. Step 6: Final answer
    x = 206,818.91

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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.