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Finding the Fourth Proportional to 245,398.56, 338,649.60 and 137,968.80

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Solution

The fourth proportional to 245,398.56, 338,649.60 and 137,968.80 is: 190,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,398.56 : 338,649.60 = 137,968.80 : x
  2. Step 2: Convert to fraction form
    245,398.56/338,649.60 = 137,968.80/x
  3. Step 3: Cross multiply
    245,398.56x = 338,649.60 × 137,968.80
  4. Step 4: Simplify right side
    245,398.56x = 46,723,078,932.48
  5. Step 5: Solve for x
    x = 46,723,078,932.48/245,398.56
  6. Step 6: Final answer
    x = 190,396.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.