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Finding the Fourth Proportional to 432,910.80, 649,366.20 and 353,194.65

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Solution

The fourth proportional to 432,910.80, 649,366.20 and 353,194.65 is: 529,791.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,910.80 : 649,366.20 = 353,194.65 : x
  2. Step 2: Convert to fraction form
    432,910.80/649,366.20 = 353,194.65/x
  3. Step 3: Cross multiply
    432,910.80x = 649,366.20 × 353,194.65
  4. Step 4: Simplify right side
    432,910.80x = 229,352,667,730.83
  5. Step 5: Solve for x
    x = 229,352,667,730.83/432,910.80
  6. Step 6: Final answer
    x = 529,791.98

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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.