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Finding the Fourth Proportional to 309,481.93, 427,161.03 and 188,689.82

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Solution

The fourth proportional to 309,481.93, 427,161.03 and 188,689.82 is: 260,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,481.93 : 427,161.03 = 188,689.82 : x
  2. Step 2: Convert to fraction form
    309,481.93/427,161.03 = 188,689.82/x
  3. Step 3: Cross multiply
    309,481.93x = 427,161.03 × 188,689.82
  4. Step 4: Simplify right side
    309,481.93x = 80,600,937,861.71
  5. Step 5: Solve for x
    x = 80,600,937,861.71/309,481.93
  6. Step 6: Final answer
    x = 260,438.27

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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.