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Finding the Fourth Proportional to 289,858.16, 434,817.07 and 100,318.20

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Solution

The fourth proportional to 289,858.16, 434,817.07 and 100,318.20 is: 150,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,858.16 : 434,817.07 = 100,318.20 : x
  2. Step 2: Convert to fraction form
    289,858.16/434,817.07 = 100,318.20/x
  3. Step 3: Cross multiply
    289,858.16x = 434,817.07 × 100,318.20
  4. Step 4: Simplify right side
    289,858.16x = 43,620,063,910.31
  5. Step 5: Solve for x
    x = 43,620,063,910.31/289,858.16
  6. Step 6: Final answer
    x = 150,487.62

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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.