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Finding the Fourth Proportional to 275,420.20, 413,203.20 and 97,908.70

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Solution

The fourth proportional to 275,420.20, 413,203.20 and 97,908.70 is: 146,888.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,420.20 : 413,203.20 = 97,908.70 : x
  2. Step 2: Convert to fraction form
    275,420.20/413,203.20 = 97,908.70/x
  3. Step 3: Cross multiply
    275,420.20x = 413,203.20 × 97,908.70
  4. Step 4: Simplify right side
    275,420.20x = 40,456,188,147.84
  5. Step 5: Solve for x
    x = 40,456,188,147.84/275,420.20
  6. Step 6: Final answer
    x = 146,888.97

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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.