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Finding the Fourth Proportional to 290,717.32, 436,071.66 and 80,350.60

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Solution

The fourth proportional to 290,717.32, 436,071.66 and 80,350.60 is: 120,524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,717.32 : 436,071.66 = 80,350.60 : x
  2. Step 2: Convert to fraction form
    290,717.32/436,071.66 = 80,350.60/x
  3. Step 3: Cross multiply
    290,717.32x = 436,071.66 × 80,350.60
  4. Step 4: Simplify right side
    290,717.32x = 35,038,619,524.00
  5. Step 5: Solve for x
    x = 35,038,619,524.00/290,717.32
  6. Step 6: Final answer
    x = 120,524.71

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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.