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Finding the Fourth Proportional to 267,408.70, 401,113.05 and 207,922.30

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Solution

The fourth proportional to 267,408.70, 401,113.05 and 207,922.30 is: 311,883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,408.70 : 401,113.05 = 207,922.30 : x
  2. Step 2: Convert to fraction form
    267,408.70/401,113.05 = 207,922.30/x
  3. Step 3: Cross multiply
    267,408.70x = 401,113.05 × 207,922.30
  4. Step 4: Simplify right side
    267,408.70x = 83,400,347,916.02
  5. Step 5: Solve for x
    x = 83,400,347,916.02/267,408.70
  6. Step 6: Final answer
    x = 311,883.45

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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.