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Finding the Fourth Proportional to 267,948.40, 401,231.40 and 212,652.40

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Solution

The fourth proportional to 267,948.40, 401,231.40 and 212,652.40 is: 318,430.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,948.40 : 401,231.40 = 212,652.40 : x
  2. Step 2: Convert to fraction form
    267,948.40/401,231.40 = 212,652.40/x
  3. Step 3: Cross multiply
    267,948.40x = 401,231.40 × 212,652.40
  4. Step 4: Simplify right side
    267,948.40x = 85,322,820,165.36
  5. Step 5: Solve for x
    x = 85,322,820,165.36/267,948.40
  6. Step 6: Final answer
    x = 318,430.04

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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.