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Finding the Fourth Proportional to 408,437.86, 612,739.83 and 142,219.13

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Solution

The fourth proportional to 408,437.86, 612,739.83 and 142,219.13 is: 213,357.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,437.86 : 612,739.83 = 142,219.13 : x
  2. Step 2: Convert to fraction form
    408,437.86/612,739.83 = 142,219.13/x
  3. Step 3: Cross multiply
    408,437.86x = 612,739.83 × 142,219.13
  4. Step 4: Simplify right side
    408,437.86x = 87,143,325,538.95
  5. Step 5: Solve for x
    x = 87,143,325,538.95/408,437.86
  6. Step 6: Final answer
    x = 213,357.61

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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.