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Finding the Fourth Proportional to 312,428.63, 468,664.82 and 125,440.13

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Solution

The fourth proportional to 312,428.63, 468,664.82 and 125,440.13 is: 188,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,428.63 : 468,664.82 = 125,440.13 : x
  2. Step 2: Convert to fraction form
    312,428.63/468,664.82 = 125,440.13/x
  3. Step 3: Cross multiply
    312,428.63x = 468,664.82 × 125,440.13
  4. Step 4: Simplify right side
    312,428.63x = 58,789,372,976.70
  5. Step 5: Solve for x
    x = 58,789,372,976.70/312,428.63
  6. Step 6: Final answer
    x = 188,168.97

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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.