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Finding the Fourth Proportional to 329,709.20, 493,251.60 and 285,823.40

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Solution

The fourth proportional to 329,709.20, 493,251.60 and 285,823.40 is: 427,597.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,709.20 : 493,251.60 = 285,823.40 : x
  2. Step 2: Convert to fraction form
    329,709.20/493,251.60 = 285,823.40/x
  3. Step 3: Cross multiply
    329,709.20x = 493,251.60 × 285,823.40
  4. Step 4: Simplify right side
    329,709.20x = 140,982,849,367.44
  5. Step 5: Solve for x
    x = 140,982,849,367.44/329,709.20
  6. Step 6: Final answer
    x = 427,597.56

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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.