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Finding the Fourth Proportional to 312,450, 468,412.14 and 253,138.56

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Solution

The fourth proportional to 312,450, 468,412.14 and 253,138.56 is: 379,494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,450 : 468,412.14 = 253,138.56 : x
  2. Step 2: Convert to fraction form
    312,450/468,412.14 = 253,138.56/x
  3. Step 3: Cross multiply
    312,450x = 468,412.14 × 253,138.56
  4. Step 4: Simplify right side
    312,450x = 118,573,174,606.12
  5. Step 5: Solve for x
    x = 118,573,174,606.12/312,450
  6. Step 6: Final answer
    x = 379,494.88

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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.