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Finding the Fourth Proportional to 547,511.56, 821,267.36 and 206,019.20

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Solution

The fourth proportional to 547,511.56, 821,267.36 and 206,019.20 is: 309,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,511.56 : 821,267.36 = 206,019.20 : x
  2. Step 2: Convert to fraction form
    547,511.56/821,267.36 = 206,019.20/x
  3. Step 3: Cross multiply
    547,511.56x = 821,267.36 × 206,019.20
  4. Step 4: Simplify right side
    547,511.56x = 169,196,844,493.31
  5. Step 5: Solve for x
    x = 169,196,844,493.31/547,511.56
  6. Step 6: Final answer
    x = 309,028.81

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1.5x scale

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.