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Finding the Fourth Proportional to 288,270.74, 397,796.91 and 160,954.40

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Solution

The fourth proportional to 288,270.74, 397,796.91 and 160,954.40 is: 222,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,270.74 : 397,796.91 = 160,954.40 : x
  2. Step 2: Convert to fraction form
    288,270.74/397,796.91 = 160,954.40/x
  3. Step 3: Cross multiply
    288,270.74x = 397,796.91 × 160,954.40
  4. Step 4: Simplify right side
    288,270.74x = 64,027,162,970.90
  5. Step 5: Solve for x
    x = 64,027,162,970.90/288,270.74
  6. Step 6: Final answer
    x = 222,107.74

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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.