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Finding the Fourth Proportional to 342,161.75, 513,232.00 and 142,477.11

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Solution

The fourth proportional to 342,161.75, 513,232.00 and 142,477.11 is: 213,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,161.75 : 513,232.00 = 142,477.11 : x
  2. Step 2: Convert to fraction form
    342,161.75/513,232.00 = 142,477.11/x
  3. Step 3: Cross multiply
    342,161.75x = 513,232.00 × 142,477.11
  4. Step 4: Simplify right side
    342,161.75x = 73,123,811,763.33
  5. Step 5: Solve for x
    x = 73,123,811,763.33/342,161.75
  6. Step 6: Final answer
    x = 213,711.24

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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.