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Finding the Fourth Proportional to 230,399.40, 317,940.96 and 128,436

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Solution

The fourth proportional to 230,399.40, 317,940.96 and 128,436 is: 177,235.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,399.40 : 317,940.96 = 128,436 : x
  2. Step 2: Convert to fraction form
    230,399.40/317,940.96 = 128,436/x
  3. Step 3: Cross multiply
    230,399.40x = 317,940.96 × 128,436
  4. Step 4: Simplify right side
    230,399.40x = 40,835,065,138.56
  5. Step 5: Solve for x
    x = 40,835,065,138.56/230,399.40
  6. Step 6: Final answer
    x = 177,235.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.