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Finding the Fourth Proportional to 288,369.77, 397,948.39 and 159,316.56

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Solution

The fourth proportional to 288,369.77, 397,948.39 and 159,316.56 is: 219,855.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,369.77 : 397,948.39 = 159,316.56 : x
  2. Step 2: Convert to fraction form
    288,369.77/397,948.39 = 159,316.56/x
  3. Step 3: Cross multiply
    288,369.77x = 397,948.39 × 159,316.56
  4. Step 4: Simplify right side
    288,369.77x = 63,399,770,000.95
  5. Step 5: Solve for x
    x = 63,399,770,000.95/288,369.77
  6. Step 6: Final answer
    x = 219,855.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.