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Finding the Fourth Proportional to 290,805.39, 436,208.09 and 80,437.86

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Solution

The fourth proportional to 290,805.39, 436,208.09 and 80,437.86 is: 120,656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,805.39 : 436,208.09 = 80,437.86 : x
  2. Step 2: Convert to fraction form
    290,805.39/436,208.09 = 80,437.86/x
  3. Step 3: Cross multiply
    290,805.39x = 436,208.09 × 80,437.86
  4. Step 4: Simplify right side
    290,805.39x = 35,087,644,872.10
  5. Step 5: Solve for x
    x = 35,087,644,872.10/290,805.39
  6. Step 6: Final answer
    x = 120,656.79

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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.