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Finding the Fourth Proportional to 359,919.75, 496,689.26 and 209,026.47

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Solution

The fourth proportional to 359,919.75, 496,689.26 and 209,026.47 is: 288,456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,919.75 : 496,689.26 = 209,026.47 : x
  2. Step 2: Convert to fraction form
    359,919.75/496,689.26 = 209,026.47/x
  3. Step 3: Cross multiply
    359,919.75x = 496,689.26 × 209,026.47
  4. Step 4: Simplify right side
    359,919.75x = 103,821,202,704.71
  5. Step 5: Solve for x
    x = 103,821,202,704.71/359,919.75
  6. Step 6: Final answer
    x = 288,456.53

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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.