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Finding the Fourth Proportional to 359,912.69, 496,679.51 and 209,019.41

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Solution

The fourth proportional to 359,912.69, 496,679.51 and 209,019.41 is: 288,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,912.69 : 496,679.51 = 209,019.41 : x
  2. Step 2: Convert to fraction form
    359,912.69/496,679.51 = 209,019.41/x
  3. Step 3: Cross multiply
    359,912.69x = 496,679.51 × 209,019.41
  4. Step 4: Simplify right side
    359,912.69x = 103,815,658,139.29
  5. Step 5: Solve for x
    x = 103,815,658,139.29/359,912.69
  6. Step 6: Final answer
    x = 288,446.78

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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.