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Finding the Fourth Proportional to 288,867.96, 433,214.46 and 78,478.56

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Solution

The fourth proportional to 288,867.96, 433,214.46 and 78,478.56 is: 117,694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,867.96 : 433,214.46 = 78,478.56 : x
  2. Step 2: Convert to fraction form
    288,867.96/433,214.46 = 78,478.56/x
  3. Step 3: Cross multiply
    288,867.96x = 433,214.46 × 78,478.56
  4. Step 4: Simplify right side
    288,867.96x = 33,998,046,991.98
  5. Step 5: Solve for x
    x = 33,998,046,991.98/288,867.96
  6. Step 6: Final answer
    x = 117,694.07

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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.