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Finding the Fourth Proportional to 547,503.30, 821,408.55 and 267,029.70

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Solution

The fourth proportional to 547,503.30, 821,408.55 and 267,029.70 is: 400,619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,503.30 : 821,408.55 = 267,029.70 : x
  2. Step 2: Convert to fraction form
    547,503.30/821,408.55 = 267,029.70/x
  3. Step 3: Cross multiply
    547,503.30x = 821,408.55 × 267,029.70
  4. Step 4: Simplify right side
    547,503.30x = 219,340,478,683.94
  5. Step 5: Solve for x
    x = 219,340,478,683.94/547,503.30
  6. Step 6: Final answer
    x = 400,619.46

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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.