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Finding the Fourth Proportional to 298,191.31, 411,494.62 and 162,221.77

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Solution

The fourth proportional to 298,191.31, 411,494.62 and 162,221.77 is: 223,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,191.31 : 411,494.62 = 162,221.77 : x
  2. Step 2: Convert to fraction form
    298,191.31/411,494.62 = 162,221.77/x
  3. Step 3: Cross multiply
    298,191.31x = 411,494.62 × 162,221.77
  4. Step 4: Simplify right side
    298,191.31x = 66,753,385,601.88
  5. Step 5: Solve for x
    x = 66,753,385,601.88/298,191.31
  6. Step 6: Final answer
    x = 223,860.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.