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Finding the Fourth Proportional to 288,847.66, 433,231.40 and 89,174.62

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Solution

The fourth proportional to 288,847.66, 433,231.40 and 89,174.62 is: 133,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,847.66 : 433,231.40 = 89,174.62 : x
  2. Step 2: Convert to fraction form
    288,847.66/433,231.40 = 89,174.62/x
  3. Step 3: Cross multiply
    288,847.66x = 433,231.40 × 89,174.62
  4. Step 4: Simplify right side
    288,847.66x = 38,633,245,467.07
  5. Step 5: Solve for x
    x = 38,633,245,467.07/288,847.66
  6. Step 6: Final answer
    x = 133,749.55

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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.