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Finding the Fourth Proportional to 386,178.88, 532,939.80 and 214,086.58

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Solution

The fourth proportional to 386,178.88, 532,939.80 and 214,086.58 is: 295,446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,178.88 : 532,939.80 = 214,086.58 : x
  2. Step 2: Convert to fraction form
    386,178.88/532,939.80 = 214,086.58/x
  3. Step 3: Cross multiply
    386,178.88x = 532,939.80 × 214,086.58
  4. Step 4: Simplify right side
    386,178.88x = 114,095,259,127.88
  5. Step 5: Solve for x
    x = 114,095,259,127.88/386,178.88
  6. Step 6: Final answer
    x = 295,446.66

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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.