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Finding the Fourth Proportional to 289,212.72, 433,806.30 and 78,850.68

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Solution

The fourth proportional to 289,212.72, 433,806.30 and 78,850.68 is: 118,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,212.72 : 433,806.30 = 78,850.68 : x
  2. Step 2: Convert to fraction form
    289,212.72/433,806.30 = 78,850.68/x
  3. Step 3: Cross multiply
    289,212.72x = 433,806.30 × 78,850.68
  4. Step 4: Simplify right side
    289,212.72x = 34,205,921,743.28
  5. Step 5: Solve for x
    x = 34,205,921,743.28/289,212.72
  6. Step 6: Final answer
    x = 118,272.54

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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.