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Finding the Fourth Proportional to 342,015.20, 471,978.12 and 189,063.44

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Solution

The fourth proportional to 342,015.20, 471,978.12 and 189,063.44 is: 260,905.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,015.20 : 471,978.12 = 189,063.44 : x
  2. Step 2: Convert to fraction form
    342,015.20/471,978.12 = 189,063.44/x
  3. Step 3: Cross multiply
    342,015.20x = 471,978.12 × 189,063.44
  4. Step 4: Simplify right side
    342,015.20x = 89,233,806,971.93
  5. Step 5: Solve for x
    x = 89,233,806,971.93/342,015.20
  6. Step 6: Final answer
    x = 260,905.97

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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.