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Finding the Fourth Proportional to 209,170, 289,414.59 and 182,368.32

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Solution

The fourth proportional to 209,170, 289,414.59 and 182,368.32 is: 252,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,170 : 289,414.59 = 182,368.32 : x
  2. Step 2: Convert to fraction form
    209,170/289,414.59 = 182,368.32/x
  3. Step 3: Cross multiply
    209,170x = 289,414.59 × 182,368.32
  4. Step 4: Simplify right side
    209,170x = 52,780,052,561.79
  5. Step 5: Solve for x
    x = 52,780,052,561.79/209,170
  6. Step 6: Final answer
    x = 252,330.89

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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.