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Finding the Fourth Proportional to 305,679.38, 457,872.68 and 193,301.60

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Solution

The fourth proportional to 305,679.38, 457,872.68 and 193,301.60 is: 289,543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,679.38 : 457,872.68 = 193,301.60 : x
  2. Step 2: Convert to fraction form
    305,679.38/457,872.68 = 193,301.60/x
  3. Step 3: Cross multiply
    305,679.38x = 457,872.68 × 193,301.60
  4. Step 4: Simplify right side
    305,679.38x = 88,507,521,640.29
  5. Step 5: Solve for x
    x = 88,507,521,640.29/305,679.38
  6. Step 6: Final answer
    x = 289,543.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.