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Finding the Fourth Proportional to 492,788.64, 739,229.64 and 137,802.60

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Solution

The fourth proportional to 492,788.64, 739,229.64 and 137,802.60 is: 206,716.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,788.64 : 739,229.64 = 137,802.60 : x
  2. Step 2: Convert to fraction form
    492,788.64/739,229.64 = 137,802.60/x
  3. Step 3: Cross multiply
    492,788.64x = 739,229.64 × 137,802.60
  4. Step 4: Simplify right side
    492,788.64x = 101,867,766,389.06
  5. Step 5: Solve for x
    x = 101,867,766,389.06/492,788.64
  6. Step 6: Final answer
    x = 206,716.95

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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.