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Finding the Fourth Proportional to 221,208.42, 330,197.70 and 189,820.20

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Solution

The fourth proportional to 221,208.42, 330,197.70 and 189,820.20 is: 283,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,208.42 : 330,197.70 = 189,820.20 : x
  2. Step 2: Convert to fraction form
    221,208.42/330,197.70 = 189,820.20/x
  3. Step 3: Cross multiply
    221,208.42x = 330,197.70 × 189,820.20
  4. Step 4: Simplify right side
    221,208.42x = 62,678,193,453.54
  5. Step 5: Solve for x
    x = 62,678,193,453.54/221,208.42
  6. Step 6: Final answer
    x = 283,344.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.