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Finding the Fourth Proportional to 217,281.40, 325,922.10 and 210,023.80

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Solution

The fourth proportional to 217,281.40, 325,922.10 and 210,023.80 is: 315,035.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,281.40 : 325,922.10 = 210,023.80 : x
  2. Step 2: Convert to fraction form
    217,281.40/325,922.10 = 210,023.80/x
  3. Step 3: Cross multiply
    217,281.40x = 325,922.10 × 210,023.80
  4. Step 4: Simplify right side
    217,281.40x = 68,451,397,945.98
  5. Step 5: Solve for x
    x = 68,451,397,945.98/217,281.40
  6. Step 6: Final answer
    x = 315,035.70

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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.