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Finding the Fourth Proportional to 289,171.62, 399,052.71 and 160,097.72

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Solution

The fourth proportional to 289,171.62, 399,052.71 and 160,097.72 is: 220,932.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,171.62 : 399,052.71 = 160,097.72 : x
  2. Step 2: Convert to fraction form
    289,171.62/399,052.71 = 160,097.72/x
  3. Step 3: Cross multiply
    289,171.62x = 399,052.71 × 160,097.72
  4. Step 4: Simplify right side
    289,171.62x = 63,887,427,035.56
  5. Step 5: Solve for x
    x = 63,887,427,035.56/289,171.62
  6. Step 6: Final answer
    x = 220,932.56

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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.