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Finding the Fourth Proportional to 354,910.80, 532,366.20 and 214,942.80

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Solution

The fourth proportional to 354,910.80, 532,366.20 and 214,942.80 is: 322,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,910.80 : 532,366.20 = 214,942.80 : x
  2. Step 2: Convert to fraction form
    354,910.80/532,366.20 = 214,942.80/x
  3. Step 3: Cross multiply
    354,910.80x = 532,366.20 × 214,942.80
  4. Step 4: Simplify right side
    354,910.80x = 114,428,281,653.36
  5. Step 5: Solve for x
    x = 114,428,281,653.36/354,910.80
  6. Step 6: Final answer
    x = 322,414.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.