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Finding the Fourth Proportional to 309,912.82, 463,872.62 and 159,948.84

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Solution

The fourth proportional to 309,912.82, 463,872.62 and 159,948.84 is: 239,408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,912.82 : 463,872.62 = 159,948.84 : x
  2. Step 2: Convert to fraction form
    309,912.82/463,872.62 = 159,948.84/x
  3. Step 3: Cross multiply
    309,912.82x = 463,872.62 × 159,948.84
  4. Step 4: Simplify right side
    309,912.82x = 74,195,887,476.76
  5. Step 5: Solve for x
    x = 74,195,887,476.76/309,912.82
  6. Step 6: Final answer
    x = 239,408.90

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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.