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Finding the Fourth Proportional to 311,688.72, 467,072.92 and 142,792.40

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Solution

The fourth proportional to 311,688.72, 467,072.92 and 142,792.40 is: 213,977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,688.72 : 467,072.92 = 142,792.40 : x
  2. Step 2: Convert to fraction form
    311,688.72/467,072.92 = 142,792.40/x
  3. Step 3: Cross multiply
    311,688.72x = 467,072.92 × 142,792.40
  4. Step 4: Simplify right side
    311,688.72x = 66,694,463,221.81
  5. Step 5: Solve for x
    x = 66,694,463,221.81/311,688.72
  6. Step 6: Final answer
    x = 213,977.79

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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.