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Finding the Fourth Proportional to 290,874.14, 436,320.76 and 80,494.46

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Solution

The fourth proportional to 290,874.14, 436,320.76 and 80,494.46 is: 120,744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,874.14 : 436,320.76 = 80,494.46 : x
  2. Step 2: Convert to fraction form
    290,874.14/436,320.76 = 80,494.46/x
  3. Step 3: Cross multiply
    290,874.14x = 436,320.76 × 80,494.46
  4. Step 4: Simplify right side
    290,874.14x = 35,121,403,962.99
  5. Step 5: Solve for x
    x = 35,121,403,962.99/290,874.14
  6. Step 6: Final answer
    x = 120,744.33

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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.