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Finding the Fourth Proportional to 288,871.21, 433,219.33 and 78,481.81

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Solution

The fourth proportional to 288,871.21, 433,219.33 and 78,481.81 is: 117,698.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,871.21 : 433,219.33 = 78,481.81 : x
  2. Step 2: Convert to fraction form
    288,871.21/433,219.33 = 78,481.81/x
  3. Step 3: Cross multiply
    288,871.21x = 433,219.33 × 78,481.81
  4. Step 4: Simplify right side
    288,871.21x = 33,999,837,145.39
  5. Step 5: Solve for x
    x = 33,999,837,145.39/288,871.21
  6. Step 6: Final answer
    x = 117,698.95

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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.