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Finding the Fourth Proportional to 492,711.60, 739,067.40 and 137,725.05

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Solution

The fourth proportional to 492,711.60, 739,067.40 and 137,725.05 is: 206,587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,711.60 : 739,067.40 = 137,725.05 : x
  2. Step 2: Convert to fraction form
    492,711.60/739,067.40 = 137,725.05/x
  3. Step 3: Cross multiply
    492,711.60x = 739,067.40 × 137,725.05
  4. Step 4: Simplify right side
    492,711.60x = 101,788,094,618.37
  5. Step 5: Solve for x
    x = 101,788,094,618.37/492,711.60
  6. Step 6: Final answer
    x = 206,587.58

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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.