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Finding the Fourth Proportional to 358,691.35, 494,978.10 and 205,619.80

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Solution

The fourth proportional to 358,691.35, 494,978.10 and 205,619.80 is: 283,746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,691.35 : 494,978.10 = 205,619.80 : x
  2. Step 2: Convert to fraction form
    358,691.35/494,978.10 = 205,619.80/x
  3. Step 3: Cross multiply
    358,691.35x = 494,978.10 × 205,619.80
  4. Step 4: Simplify right side
    358,691.35x = 101,777,297,926.38
  5. Step 5: Solve for x
    x = 101,777,297,926.38/358,691.35
  6. Step 6: Final answer
    x = 283,746.17

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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.