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Finding the Fourth Proportional to 399,414.27, 551,792.96 and 261,920.32

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Solution

The fourth proportional to 399,414.27, 551,792.96 and 261,920.32 is: 361,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,414.27 : 551,792.96 = 261,920.32 : x
  2. Step 2: Convert to fraction form
    399,414.27/551,792.96 = 261,920.32/x
  3. Step 3: Cross multiply
    399,414.27x = 551,792.96 × 261,920.32
  4. Step 4: Simplify right side
    399,414.27x = 144,525,786,950.06
  5. Step 5: Solve for x
    x = 144,525,786,950.06/399,414.27
  6. Step 6: Final answer
    x = 361,844.32

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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.