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Finding the Fourth Proportional to 420,199.76, 579,879.86 and 229,217.15

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Solution

The fourth proportional to 420,199.76, 579,879.86 and 229,217.15 is: 316,321.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,199.76 : 579,879.86 = 229,217.15 : x
  2. Step 2: Convert to fraction form
    420,199.76/579,879.86 = 229,217.15/x
  3. Step 3: Cross multiply
    420,199.76x = 579,879.86 × 229,217.15
  4. Step 4: Simplify right side
    420,199.76x = 132,918,404,806.11
  5. Step 5: Solve for x
    x = 132,918,404,806.11/420,199.76
  6. Step 6: Final answer
    x = 316,321.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.