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Finding the Fourth Proportional to 333,618.40, 499,747.20 and 206,869.60

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Solution

The fourth proportional to 333,618.40, 499,747.20 and 206,869.60 is: 309,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,618.40 : 499,747.20 = 206,869.60 : x
  2. Step 2: Convert to fraction form
    333,618.40/499,747.20 = 206,869.60/x
  3. Step 3: Cross multiply
    333,618.40x = 499,747.20 × 206,869.60
  4. Step 4: Simplify right side
    333,618.40x = 103,382,503,365.12
  5. Step 5: Solve for x
    x = 103,382,503,365.12/333,618.40
  6. Step 6: Final answer
    x = 309,882.50

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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.