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Finding the Fourth Proportional to 289,794.36, 434,641.70 and 76,564.56

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Solution

The fourth proportional to 289,794.36, 434,641.70 and 76,564.56 is: 114,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,794.36 : 434,641.70 = 76,564.56 : x
  2. Step 2: Convert to fraction form
    289,794.36/434,641.70 = 76,564.56/x
  3. Step 3: Cross multiply
    289,794.36x = 434,641.70 × 76,564.56
  4. Step 4: Simplify right side
    289,794.36x = 33,278,150,518.15
  5. Step 5: Solve for x
    x = 33,278,150,518.15/289,794.36
  6. Step 6: Final answer
    x = 114,833.67

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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.