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Finding the Fourth Proportional to 288,991.33, 433,379.46 and 99,398.48

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Solution

The fourth proportional to 288,991.33, 433,379.46 and 99,398.48 is: 149,060.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,991.33 : 433,379.46 = 99,398.48 : x
  2. Step 2: Convert to fraction form
    288,991.33/433,379.46 = 99,398.48/x
  3. Step 3: Cross multiply
    288,991.33x = 433,379.46 × 99,398.48
  4. Step 4: Simplify right side
    288,991.33x = 43,077,257,793.07
  5. Step 5: Solve for x
    x = 43,077,257,793.07/288,991.33
  6. Step 6: Final answer
    x = 149,060.73

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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.