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Finding the Fourth Proportional to 342,174.15, 512,900.37 and 142,293.29

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Solution

The fourth proportional to 342,174.15, 512,900.37 and 142,293.29 is: 213,289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,174.15 : 512,900.37 = 142,293.29 : x
  2. Step 2: Convert to fraction form
    342,174.15/512,900.37 = 142,293.29/x
  3. Step 3: Cross multiply
    342,174.15x = 512,900.37 × 142,293.29
  4. Step 4: Simplify right side
    342,174.15x = 72,982,278,525.02
  5. Step 5: Solve for x
    x = 72,982,278,525.02/342,174.15
  6. Step 6: Final answer
    x = 213,289.87

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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.