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Finding the Fourth Proportional to 217,862.40, 326,793.60 and 143,212.80

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Solution

The fourth proportional to 217,862.40, 326,793.60 and 143,212.80 is: 214,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,862.40 : 326,793.60 = 143,212.80 : x
  2. Step 2: Convert to fraction form
    217,862.40/326,793.60 = 143,212.80/x
  3. Step 3: Cross multiply
    217,862.40x = 326,793.60 × 143,212.80
  4. Step 4: Simplify right side
    217,862.40x = 46,801,026,478.08
  5. Step 5: Solve for x
    x = 46,801,026,478.08/217,862.40
  6. Step 6: Final answer
    x = 214,819.20

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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.