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Finding the Fourth Proportional to 216,311.94, 298,511.10 and 120,822.30

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Solution

The fourth proportional to 216,311.94, 298,511.10 and 120,822.30 is: 166,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,311.94 : 298,511.10 = 120,822.30 : x
  2. Step 2: Convert to fraction form
    216,311.94/298,511.10 = 120,822.30/x
  3. Step 3: Cross multiply
    216,311.94x = 298,511.10 × 120,822.30
  4. Step 4: Simplify right side
    216,311.94x = 36,066,797,677.53
  5. Step 5: Solve for x
    x = 36,066,797,677.53/216,311.94
  6. Step 6: Final answer
    x = 166,735.12

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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.