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Finding the Fourth Proportional to 379,509.80, 569,358.14 and 267,408.96

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Solution

The fourth proportional to 379,509.80, 569,358.14 and 267,408.96 is: 401,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,509.80 : 569,358.14 = 267,408.96 : x
  2. Step 2: Convert to fraction form
    379,509.80/569,358.14 = 267,408.96/x
  3. Step 3: Cross multiply
    379,509.80x = 569,358.14 × 267,408.96
  4. Step 4: Simplify right side
    379,509.80x = 152,251,466,747.89
  5. Step 5: Solve for x
    x = 152,251,466,747.89/379,509.80
  6. Step 6: Final answer
    x = 401,179.28

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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.