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Finding the Fourth Proportional to 312,448, 468,409.14 and 253,136.56

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Solution

The fourth proportional to 312,448, 468,409.14 and 253,136.56 is: 379,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,448 : 468,409.14 = 253,136.56 : x
  2. Step 2: Convert to fraction form
    312,448/468,409.14 = 253,136.56/x
  3. Step 3: Cross multiply
    312,448x = 468,409.14 × 253,136.56
  4. Step 4: Simplify right side
    312,448x = 118,571,478,372.16
  5. Step 5: Solve for x
    x = 118,571,478,372.16/312,448
  6. Step 6: Final answer
    x = 379,491.88

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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.