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Finding the Fourth Proportional to 289,706, 434,751.82 and 119,067.66

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Solution

The fourth proportional to 289,706, 434,751.82 and 119,067.66 is: 178,680.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,706 : 434,751.82 = 119,067.66 : x
  2. Step 2: Convert to fraction form
    289,706/434,751.82 = 119,067.66/x
  3. Step 3: Cross multiply
    289,706x = 434,751.82 × 119,067.66
  4. Step 4: Simplify right side
    289,706x = 51,764,881,888.14
  5. Step 5: Solve for x
    x = 51,764,881,888.14/289,706
  6. Step 6: Final answer
    x = 178,680.74

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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.