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Finding the Fourth Proportional to 289,654.62, 399,723.87 and 162,330.21

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Solution

The fourth proportional to 289,654.62, 399,723.87 and 162,330.21 is: 224,015.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,654.62 : 399,723.87 = 162,330.21 : x
  2. Step 2: Convert to fraction form
    289,654.62/399,723.87 = 162,330.21/x
  3. Step 3: Cross multiply
    289,654.62x = 399,723.87 × 162,330.21
  4. Step 4: Simplify right side
    289,654.62x = 64,887,259,759.11
  5. Step 5: Solve for x
    x = 64,887,259,759.11/289,654.62
  6. Step 6: Final answer
    x = 224,015.97

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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.