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Finding the Fourth Proportional to 361,983.45, 499,609.85 and 209,046.54

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Solution

The fourth proportional to 361,983.45, 499,609.85 and 209,046.54 is: 288,526.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,983.45 : 499,609.85 = 209,046.54 : x
  2. Step 2: Convert to fraction form
    361,983.45/499,609.85 = 209,046.54/x
  3. Step 3: Cross multiply
    361,983.45x = 499,609.85 × 209,046.54
  4. Step 4: Simplify right side
    361,983.45x = 104,441,709,447.19
  5. Step 5: Solve for x
    x = 104,441,709,447.19/361,983.45
  6. Step 6: Final answer
    x = 288,526.20

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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.