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Finding the Fourth Proportional to 214,811.20, 322,216.80 and 199,064.80

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Solution

The fourth proportional to 214,811.20, 322,216.80 and 199,064.80 is: 298,597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,811.20 : 322,216.80 = 199,064.80 : x
  2. Step 2: Convert to fraction form
    214,811.20/322,216.80 = 199,064.80/x
  3. Step 3: Cross multiply
    214,811.20x = 322,216.80 × 199,064.80
  4. Step 4: Simplify right side
    214,811.20x = 64,142,022,848.64
  5. Step 5: Solve for x
    x = 64,142,022,848.64/214,811.20
  6. Step 6: Final answer
    x = 298,597.20

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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.