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Finding the Fourth Proportional to 275,460.08, 413,135.72 and 75,728.96

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Solution

The fourth proportional to 275,460.08, 413,135.72 and 75,728.96 is: 113,578.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,460.08 : 413,135.72 = 75,728.96 : x
  2. Step 2: Convert to fraction form
    275,460.08/413,135.72 = 75,728.96/x
  3. Step 3: Cross multiply
    275,460.08x = 413,135.72 × 75,728.96
  4. Step 4: Simplify right side
    275,460.08x = 31,286,338,414.45
  5. Step 5: Solve for x
    x = 31,286,338,414.45/275,460.08
  6. Step 6: Final answer
    x = 113,578.48

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1.5x scale

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.