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Finding the Fourth Proportional to 275,504.75, 413,208.72 and 75,776.97

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Solution

The fourth proportional to 275,504.75, 413,208.72 and 75,776.97 is: 113,652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,504.75 : 413,208.72 = 75,776.97 : x
  2. Step 2: Convert to fraction form
    275,504.75/413,208.72 = 75,776.97/x
  3. Step 3: Cross multiply
    275,504.75x = 413,208.72 × 75,776.97
  4. Step 4: Simplify right side
    275,504.75x = 31,311,704,779.18
  5. Step 5: Solve for x
    x = 31,311,704,779.18/275,504.75
  6. Step 6: Final answer
    x = 113,652.14

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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.