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Finding the Fourth Proportional to 547,507.80, 821,415.30 and 267,034.20

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Solution

The fourth proportional to 547,507.80, 821,415.30 and 267,034.20 is: 400,626.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,507.80 : 821,415.30 = 267,034.20 : x
  2. Step 2: Convert to fraction form
    547,507.80/821,415.30 = 267,034.20/x
  3. Step 3: Cross multiply
    547,507.80x = 821,415.30 × 267,034.20
  4. Step 4: Simplify right side
    547,507.80x = 219,345,977,503.26
  5. Step 5: Solve for x
    x = 219,345,977,503.26/547,507.80
  6. Step 6: Final answer
    x = 400,626.21

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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.