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Finding the Fourth Proportional to 290,811.40, 436,217.08 and 80,443.86

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Solution

The fourth proportional to 290,811.40, 436,217.08 and 80,443.86 is: 120,665.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,811.40 : 436,217.08 = 80,443.86 : x
  2. Step 2: Convert to fraction form
    290,811.40/436,217.08 = 80,443.86/x
  3. Step 3: Cross multiply
    290,811.40x = 436,217.08 × 80,443.86
  4. Step 4: Simplify right side
    290,811.40x = 35,090,985,713.13
  5. Step 5: Solve for x
    x = 35,090,985,713.13/290,811.40
  6. Step 6: Final answer
    x = 120,665.78

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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.