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Finding the Fourth Proportional to 290,614.84, 435,930.44 and 80,252.78

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Solution

The fourth proportional to 290,614.84, 435,930.44 and 80,252.78 is: 120,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,614.84 : 435,930.44 = 80,252.78 : x
  2. Step 2: Convert to fraction form
    290,614.84/435,930.44 = 80,252.78/x
  3. Step 3: Cross multiply
    290,614.84x = 435,930.44 × 80,252.78
  4. Step 4: Simplify right side
    290,614.84x = 34,984,627,115.71
  5. Step 5: Solve for x
    x = 34,984,627,115.71/290,614.84
  6. Step 6: Final answer
    x = 120,381.42

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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.