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Finding the Fourth Proportional to 289,034.04, 398,874.06 and 161,717.88

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Solution

The fourth proportional to 289,034.04, 398,874.06 and 161,717.88 is: 223,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,034.04 : 398,874.06 = 161,717.88 : x
  2. Step 2: Convert to fraction form
    289,034.04/398,874.06 = 161,717.88/x
  3. Step 3: Cross multiply
    289,034.04x = 398,874.06 × 161,717.88
  4. Step 4: Simplify right side
    289,034.04x = 64,505,067,370.19
  5. Step 5: Solve for x
    x = 64,505,067,370.19/289,034.04
  6. Step 6: Final answer
    x = 223,174.64

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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.