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Finding the Fourth Proportional to 492,448.80, 738,662.40 and 137,452.80

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Solution

The fourth proportional to 492,448.80, 738,662.40 and 137,452.80 is: 206,176.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,448.80 : 738,662.40 = 137,452.80 : x
  2. Step 2: Convert to fraction form
    492,448.80/738,662.40 = 137,452.80/x
  3. Step 3: Cross multiply
    492,448.80x = 738,662.40 × 137,452.80
  4. Step 4: Simplify right side
    492,448.80x = 101,531,215,134.72
  5. Step 5: Solve for x
    x = 101,531,215,134.72/492,448.80
  6. Step 6: Final answer
    x = 206,176.19

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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.