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Finding the Fourth Proportional to 326,719.20, 490,078.80 and 214,744.80

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Solution

The fourth proportional to 326,719.20, 490,078.80 and 214,744.80 is: 322,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,719.20 : 490,078.80 = 214,744.80 : x
  2. Step 2: Convert to fraction form
    326,719.20/490,078.80 = 214,744.80/x
  3. Step 3: Cross multiply
    326,719.20x = 490,078.80 × 214,744.80
  4. Step 4: Simplify right side
    326,719.20x = 105,241,873,890.24
  5. Step 5: Solve for x
    x = 105,241,873,890.24/326,719.20
  6. Step 6: Final answer
    x = 322,117.20

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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.