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Finding the Fourth Proportional to 245,233.12, 338,414.16 and 137,800.48

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Solution

The fourth proportional to 245,233.12, 338,414.16 and 137,800.48 is: 190,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,233.12 : 338,414.16 = 137,800.48 : x
  2. Step 2: Convert to fraction form
    245,233.12/338,414.16 = 137,800.48/x
  3. Step 3: Cross multiply
    245,233.12x = 338,414.16 × 137,800.48
  4. Step 4: Simplify right side
    245,233.12x = 46,633,633,686.80
  5. Step 5: Solve for x
    x = 46,633,633,686.80/245,233.12
  6. Step 6: Final answer
    x = 190,160.42

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1.5x scale

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.