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Finding the Fourth Proportional to 491,998.38, 738,017.01 and 137,043.42

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Solution

The fourth proportional to 491,998.38, 738,017.01 and 137,043.42 is: 205,570.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,998.38 : 738,017.01 = 137,043.42 : x
  2. Step 2: Convert to fraction form
    491,998.38/738,017.01 = 137,043.42/x
  3. Step 3: Cross multiply
    491,998.38x = 738,017.01 × 137,043.42
  4. Step 4: Simplify right side
    491,998.38x = 101,140,375,068.57
  5. Step 5: Solve for x
    x = 101,140,375,068.57/491,998.38
  6. Step 6: Final answer
    x = 205,570.54

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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.