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Finding the Fourth Proportional to 290,486.77, 435,751.89 and 80,122.75

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Solution

The fourth proportional to 290,486.77, 435,751.89 and 80,122.75 is: 120,190.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,486.77 : 435,751.89 = 80,122.75 : x
  2. Step 2: Convert to fraction form
    290,486.77/435,751.89 = 80,122.75/x
  3. Step 3: Cross multiply
    290,486.77x = 435,751.89 × 80,122.75
  4. Step 4: Simplify right side
    290,486.77x = 34,913,639,744.50
  5. Step 5: Solve for x
    x = 34,913,639,744.50/290,486.77
  6. Step 6: Final answer
    x = 120,190.12

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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.