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Finding the Fourth Proportional to 359,655.78, 496,337.28 and 206,722.38

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Solution

The fourth proportional to 359,655.78, 496,337.28 and 206,722.38 is: 285,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,655.78 : 496,337.28 = 206,722.38 : x
  2. Step 2: Convert to fraction form
    359,655.78/496,337.28 = 206,722.38/x
  3. Step 3: Cross multiply
    359,655.78x = 496,337.28 × 206,722.38
  4. Step 4: Simplify right side
    359,655.78x = 102,604,023,804.33
  5. Step 5: Solve for x
    x = 102,604,023,804.33/359,655.78
  6. Step 6: Final answer
    x = 285,283.96

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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.