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Finding the Fourth Proportional to 286,368.35, 395,231.42 and 206,061.71

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Solution

The fourth proportional to 286,368.35, 395,231.42 and 206,061.71 is: 284,396.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,368.35 : 395,231.42 = 206,061.71 : x
  2. Step 2: Convert to fraction form
    286,368.35/395,231.42 = 206,061.71/x
  3. Step 3: Cross multiply
    286,368.35x = 395,231.42 × 206,061.71
  4. Step 4: Simplify right side
    286,368.35x = 81,442,061,220.62
  5. Step 5: Solve for x
    x = 81,442,061,220.62/286,368.35
  6. Step 6: Final answer
    x = 284,396.17

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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.