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Finding the Fourth Proportional to 288,765.32, 433,221.77 and 111,224.66

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Solution

The fourth proportional to 288,765.32, 433,221.77 and 111,224.66 is: 166,865.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,765.32 : 433,221.77 = 111,224.66 : x
  2. Step 2: Convert to fraction form
    288,765.32/433,221.77 = 111,224.66/x
  3. Step 3: Cross multiply
    288,765.32x = 433,221.77 × 111,224.66
  4. Step 4: Simplify right side
    288,765.32x = 48,184,944,072.85
  5. Step 5: Solve for x
    x = 48,184,944,072.85/288,765.32
  6. Step 6: Final answer
    x = 166,865.41

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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.