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Finding the Fourth Proportional to 401,325, 601,669.92 and 198,777.70

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Solution

The fourth proportional to 401,325, 601,669.92 and 198,777.70 is: 298,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,325 : 601,669.92 = 198,777.70 : x
  2. Step 2: Convert to fraction form
    401,325/601,669.92 = 198,777.70/x
  3. Step 3: Cross multiply
    401,325x = 601,669.92 × 198,777.70
  4. Step 4: Simplify right side
    401,325x = 119,598,562,856.78
  5. Step 5: Solve for x
    x = 119,598,562,856.78/401,325
  6. Step 6: Final answer
    x = 298,009.25

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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.