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Finding the Fourth Proportional to 354,120.21, 488,644.70 and 216,229.77

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Solution

The fourth proportional to 354,120.21, 488,644.70 and 216,229.77 is: 298,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,120.21 : 488,644.70 = 216,229.77 : x
  2. Step 2: Convert to fraction form
    354,120.21/488,644.70 = 216,229.77/x
  3. Step 3: Cross multiply
    354,120.21x = 488,644.70 × 216,229.77
  4. Step 4: Simplify right side
    354,120.21x = 105,659,530,011.57
  5. Step 5: Solve for x
    x = 105,659,530,011.57/354,120.21
  6. Step 6: Final answer
    x = 298,371.93

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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.