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Finding the Fourth Proportional to 289,474.62, 434,253.78 and 109,511.25

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Solution

The fourth proportional to 289,474.62, 434,253.78 and 109,511.25 is: 164,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,474.62 : 434,253.78 = 109,511.25 : x
  2. Step 2: Convert to fraction form
    289,474.62/434,253.78 = 109,511.25/x
  3. Step 3: Cross multiply
    289,474.62x = 434,253.78 × 109,511.25
  4. Step 4: Simplify right side
    289,474.62x = 47,555,674,265.03
  5. Step 5: Solve for x
    x = 47,555,674,265.03/289,474.62
  6. Step 6: Final answer
    x = 164,282.71

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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.