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Finding the Fourth Proportional to 383,428.80, 575,143.20 and 217,540.80

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Solution

The fourth proportional to 383,428.80, 575,143.20 and 217,540.80 is: 326,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,428.80 : 575,143.20 = 217,540.80 : x
  2. Step 2: Convert to fraction form
    383,428.80/575,143.20 = 217,540.80/x
  3. Step 3: Cross multiply
    383,428.80x = 575,143.20 × 217,540.80
  4. Step 4: Simplify right side
    383,428.80x = 125,117,111,842.56
  5. Step 5: Solve for x
    x = 125,117,111,842.56/383,428.80
  6. Step 6: Final answer
    x = 326,311.20

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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.