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Finding the Fourth Proportional to 359,642.07, 496,378.67 and 206,787.20

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Solution

The fourth proportional to 359,642.07, 496,378.67 and 206,787.20 is: 285,408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,642.07 : 496,378.67 = 206,787.20 : x
  2. Step 2: Convert to fraction form
    359,642.07/496,378.67 = 206,787.20/x
  3. Step 3: Cross multiply
    359,642.07x = 496,378.67 × 206,787.20
  4. Step 4: Simplify right side
    359,642.07x = 102,644,751,793.20
  5. Step 5: Solve for x
    x = 102,644,751,793.20/359,642.07
  6. Step 6: Final answer
    x = 285,408.08

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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.