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Finding the Fourth Proportional to 275,438.80, 413,741.40 and 265,524.40

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Solution

The fourth proportional to 275,438.80, 413,741.40 and 265,524.40 is: 398,848.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,438.80 : 413,741.40 = 265,524.40 : x
  2. Step 2: Convert to fraction form
    275,438.80/413,741.40 = 265,524.40/x
  3. Step 3: Cross multiply
    275,438.80x = 413,741.40 × 265,524.40
  4. Step 4: Simplify right side
    275,438.80x = 109,858,436,990.16
  5. Step 5: Solve for x
    x = 109,858,436,990.16/275,438.80
  6. Step 6: Final answer
    x = 398,848.81

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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.