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Finding the Fourth Proportional to 342,162, 513,232.37 and 142,477.36

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Solution

The fourth proportional to 342,162, 513,232.37 and 142,477.36 is: 213,711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,162 : 513,232.37 = 142,477.36 : x
  2. Step 2: Convert to fraction form
    342,162/513,232.37 = 142,477.36/x
  3. Step 3: Cross multiply
    342,162x = 513,232.37 × 142,477.36
  4. Step 4: Simplify right side
    342,162x = 73,123,993,144.14
  5. Step 5: Solve for x
    x = 73,123,993,144.14/342,162
  6. Step 6: Final answer
    x = 213,711.61

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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.