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Finding the Fourth Proportional to 275,415.30, 413,706.15 and 265,500.90

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Solution

The fourth proportional to 275,415.30, 413,706.15 and 265,500.90 is: 398,813.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,415.30 : 413,706.15 = 265,500.90 : x
  2. Step 2: Convert to fraction form
    275,415.30/413,706.15 = 265,500.90/x
  3. Step 3: Cross multiply
    275,415.30x = 413,706.15 × 265,500.90
  4. Step 4: Simplify right side
    275,415.30x = 109,839,355,160.54
  5. Step 5: Solve for x
    x = 109,839,355,160.54/275,415.30
  6. Step 6: Final answer
    x = 398,813.56

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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.