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Finding the Fourth Proportional to 311,916.96, 430,446.39 and 168,678

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Solution

The fourth proportional to 311,916.96, 430,446.39 and 168,678 is: 232,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,916.96 : 430,446.39 = 168,678 : x
  2. Step 2: Convert to fraction form
    311,916.96/430,446.39 = 168,678/x
  3. Step 3: Cross multiply
    311,916.96x = 430,446.39 × 168,678
  4. Step 4: Simplify right side
    311,916.96x = 72,606,836,172.42
  5. Step 5: Solve for x
    x = 72,606,836,172.42/311,916.96
  6. Step 6: Final answer
    x = 232,776.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.