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Finding the Fourth Proportional to 305,109, 457,689.60 and 80,467.56

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Solution

The fourth proportional to 305,109, 457,689.60 and 80,467.56 is: 120,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,109 : 457,689.60 = 80,467.56 : x
  2. Step 2: Convert to fraction form
    305,109/457,689.60 = 80,467.56/x
  3. Step 3: Cross multiply
    305,109x = 457,689.60 × 80,467.56
  4. Step 4: Simplify right side
    305,109x = 36,829,165,349.38
  5. Step 5: Solve for x
    x = 36,829,165,349.38/305,109
  6. Step 6: Final answer
    x = 120,708.22

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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.