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Finding the Fourth Proportional to 288,766.26, 433,099.71 and 78,421.14

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Solution

The fourth proportional to 288,766.26, 433,099.71 and 78,421.14 is: 117,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,766.26 : 433,099.71 = 78,421.14 : x
  2. Step 2: Convert to fraction form
    288,766.26/433,099.71 = 78,421.14/x
  3. Step 3: Cross multiply
    288,766.26x = 433,099.71 × 78,421.14
  4. Step 4: Simplify right side
    288,766.26x = 33,964,172,991.87
  5. Step 5: Solve for x
    x = 33,964,172,991.87/288,766.26
  6. Step 6: Final answer
    x = 117,618.22

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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.