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Finding the Fourth Proportional to 288,761.31, 433,215.77 and 111,220.65

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Solution

The fourth proportional to 288,761.31, 433,215.77 and 111,220.65 is: 166,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,761.31 : 433,215.77 = 111,220.65 : x
  2. Step 2: Convert to fraction form
    288,761.31/433,215.77 = 111,220.65/x
  3. Step 3: Cross multiply
    288,761.31x = 433,215.77 × 111,220.65
  4. Step 4: Simplify right side
    288,761.31x = 48,182,538,973.55
  5. Step 5: Solve for x
    x = 48,182,538,973.55/288,761.31
  6. Step 6: Final answer
    x = 166,859.40

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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.