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Finding the Fourth Proportional to 359,643.57, 496,380.74 and 206,788.70

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Solution

The fourth proportional to 359,643.57, 496,380.74 and 206,788.70 is: 285,410.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,643.57 : 496,380.74 = 206,788.70 : x
  2. Step 2: Convert to fraction form
    359,643.57/496,380.74 = 206,788.70/x
  3. Step 3: Cross multiply
    359,643.57x = 496,380.74 × 206,788.70
  4. Step 4: Simplify right side
    359,643.57x = 102,645,924,413.79
  5. Step 5: Solve for x
    x = 102,645,924,413.79/359,643.57
  6. Step 6: Final answer
    x = 285,410.15

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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.