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Finding the Fourth Proportional to 216,198.40, 298,358.56 and 120,700.48

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Solution

The fourth proportional to 216,198.40, 298,358.56 and 120,700.48 is: 166,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,198.40 : 298,358.56 = 120,700.48 : x
  2. Step 2: Convert to fraction form
    216,198.40/298,358.56 = 120,700.48/x
  3. Step 3: Cross multiply
    216,198.40x = 298,358.56 × 120,700.48
  4. Step 4: Simplify right side
    216,198.40x = 36,012,021,404.11
  5. Step 5: Solve for x
    x = 36,012,021,404.11/216,198.40
  6. Step 6: Final answer
    x = 166,569.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.