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Finding the Fourth Proportional to 289,364.90, 434,712.56 and 204,171.84

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Solution

The fourth proportional to 289,364.90, 434,712.56 and 204,171.84 is: 306,727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,364.90 : 434,712.56 = 204,171.84 : x
  2. Step 2: Convert to fraction form
    289,364.90/434,712.56 = 204,171.84/x
  3. Step 3: Cross multiply
    289,364.90x = 434,712.56 × 204,171.84
  4. Step 4: Simplify right side
    289,364.90x = 88,756,061,583.18
  5. Step 5: Solve for x
    x = 88,756,061,583.18/289,364.90
  6. Step 6: Final answer
    x = 306,727.12

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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.