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Finding the Fourth Proportional to 432,857.80, 649,286.70 and 353,141.65

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Solution

The fourth proportional to 432,857.80, 649,286.70 and 353,141.65 is: 529,712.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,857.80 : 649,286.70 = 353,141.65 : x
  2. Step 2: Convert to fraction form
    432,857.80/649,286.70 = 353,141.65/x
  3. Step 3: Cross multiply
    432,857.80x = 649,286.70 × 353,141.65
  4. Step 4: Simplify right side
    432,857.80x = 229,290,176,561.06
  5. Step 5: Solve for x
    x = 229,290,176,561.06/432,857.80
  6. Step 6: Final answer
    x = 529,712.48

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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.