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Finding the Fourth Proportional to 216,446.92, 298,691.10 and 120,954.28

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Solution

The fourth proportional to 216,446.92, 298,691.10 and 120,954.28 is: 166,913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,446.92 : 298,691.10 = 120,954.28 : x
  2. Step 2: Convert to fraction form
    216,446.92/298,691.10 = 120,954.28/x
  3. Step 3: Cross multiply
    216,446.92x = 298,691.10 × 120,954.28
  4. Step 4: Simplify right side
    216,446.92x = 36,127,966,942.91
  5. Step 5: Solve for x
    x = 36,127,966,942.91/216,446.92
  6. Step 6: Final answer
    x = 166,913.75

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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.