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Finding the Fourth Proportional to 289,489.92, 434,235.87 and 204,994.50

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Solution

The fourth proportional to 289,489.92, 434,235.87 and 204,994.50 is: 307,492.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,489.92 : 434,235.87 = 204,994.50 : x
  2. Step 2: Convert to fraction form
    289,489.92/434,235.87 = 204,994.50/x
  3. Step 3: Cross multiply
    289,489.92x = 434,235.87 × 204,994.50
  4. Step 4: Simplify right side
    289,489.92x = 89,015,965,052.72
  5. Step 5: Solve for x
    x = 89,015,965,052.72/289,489.92
  6. Step 6: Final answer
    x = 307,492.45

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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.