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Finding the Fourth Proportional to 289,477.40, 434,217.15 and 204,981.98

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Solution

The fourth proportional to 289,477.40, 434,217.15 and 204,981.98 is: 307,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,477.40 : 434,217.15 = 204,981.98 : x
  2. Step 2: Convert to fraction form
    289,477.40/434,217.15 = 204,981.98/x
  3. Step 3: Cross multiply
    289,477.40x = 434,217.15 × 204,981.98
  4. Step 4: Simplify right side
    289,477.40x = 89,006,690,132.05
  5. Step 5: Solve for x
    x = 89,006,690,132.05/289,477.40
  6. Step 6: Final answer
    x = 307,473.71

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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.