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Finding the Fourth Proportional to 312,660.39, 468,757.31 and 146,409.51

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Solution

The fourth proportional to 312,660.39, 468,757.31 and 146,409.51 is: 219,505.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,660.39 : 468,757.31 = 146,409.51 : x
  2. Step 2: Convert to fraction form
    312,660.39/468,757.31 = 146,409.51/x
  3. Step 3: Cross multiply
    312,660.39x = 468,757.31 × 146,409.51
  4. Step 4: Simplify right side
    312,660.39x = 68,630,527,333.97
  5. Step 5: Solve for x
    x = 68,630,527,333.97/312,660.39
  6. Step 6: Final answer
    x = 219,505.03

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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.