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Finding the Fourth Proportional to 386,179.38, 532,940.49 and 214,087.08

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Solution

The fourth proportional to 386,179.38, 532,940.49 and 214,087.08 is: 295,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,179.38 : 532,940.49 = 214,087.08 : x
  2. Step 2: Convert to fraction form
    386,179.38/532,940.49 = 214,087.08/x
  3. Step 3: Cross multiply
    386,179.38x = 532,940.49 × 214,087.08
  4. Step 4: Simplify right side
    386,179.38x = 114,095,673,317.87
  5. Step 5: Solve for x
    x = 114,095,673,317.87/386,179.38
  6. Step 6: Final answer
    x = 295,447.35

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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.