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Finding the Fourth Proportional to 359,642.94, 496,323.45 and 206,730.78

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Solution

The fourth proportional to 359,642.94, 496,323.45 and 206,730.78 is: 285,297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,642.94 : 496,323.45 = 206,730.78 : x
  2. Step 2: Convert to fraction form
    359,642.94/496,323.45 = 206,730.78/x
  3. Step 3: Cross multiply
    359,642.94x = 496,323.45 × 206,730.78
  4. Step 4: Simplify right side
    359,642.94x = 102,605,333,950.79
  5. Step 5: Solve for x
    x = 102,605,333,950.79/359,642.94
  6. Step 6: Final answer
    x = 285,297.78

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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.