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Finding the Fourth Proportional to 408,614.42, 612,924.37 and 142,379.98

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Solution

The fourth proportional to 408,614.42, 612,924.37 and 142,379.98 is: 213,570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,614.42 : 612,924.37 = 142,379.98 : x
  2. Step 2: Convert to fraction form
    408,614.42/612,924.37 = 142,379.98/x
  3. Step 3: Cross multiply
    408,614.42x = 612,924.37 × 142,379.98
  4. Step 4: Simplify right side
    408,614.42x = 87,268,157,653.85
  5. Step 5: Solve for x
    x = 87,268,157,653.85/408,614.42
  6. Step 6: Final answer
    x = 213,570.92

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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.