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Finding the Fourth Proportional to 290,551.77, 435,827.70 and 80,189.73

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Solution

The fourth proportional to 290,551.77, 435,827.70 and 80,189.73 is: 120,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,551.77 : 435,827.70 = 80,189.73 : x
  2. Step 2: Convert to fraction form
    290,551.77/435,827.70 = 80,189.73/x
  3. Step 3: Cross multiply
    290,551.77x = 435,827.70 × 80,189.73
  4. Step 4: Simplify right side
    290,551.77x = 34,948,905,589.52
  5. Step 5: Solve for x
    x = 34,948,905,589.52/290,551.77
  6. Step 6: Final answer
    x = 120,284.61

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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.