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Finding the Fourth Proportional to 215,596.80, 322,780.80 and 209,452.80

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Solution

The fourth proportional to 215,596.80, 322,780.80 and 209,452.80 is: 313,582.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,596.80 : 322,780.80 = 209,452.80 : x
  2. Step 2: Convert to fraction form
    215,596.80/322,780.80 = 209,452.80/x
  3. Step 3: Cross multiply
    215,596.80x = 322,780.80 × 209,452.80
  4. Step 4: Simplify right side
    215,596.80x = 67,607,342,346.24
  5. Step 5: Solve for x
    x = 67,607,342,346.24/215,596.80
  6. Step 6: Final answer
    x = 313,582.31

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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.