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Finding the Fourth Proportional to 275,242.12, 379,744.40 and 160,494.80

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Solution

The fourth proportional to 275,242.12, 379,744.40 and 160,494.80 is: 221,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,242.12 : 379,744.40 = 160,494.80 : x
  2. Step 2: Convert to fraction form
    275,242.12/379,744.40 = 160,494.80/x
  3. Step 3: Cross multiply
    275,242.12x = 379,744.40 × 160,494.80
  4. Step 4: Simplify right side
    275,242.12x = 60,947,001,529.12
  5. Step 5: Solve for x
    x = 60,947,001,529.12/275,242.12
  6. Step 6: Final answer
    x = 221,430.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.