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Finding the Fourth Proportional to 391,864.59, 587,963.30 and 214,164

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Solution

The fourth proportional to 391,864.59, 587,963.30 and 214,164 is: 321,336.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,864.59 : 587,963.30 = 214,164 : x
  2. Step 2: Convert to fraction form
    391,864.59/587,963.30 = 214,164/x
  3. Step 3: Cross multiply
    391,864.59x = 587,963.30 × 214,164
  4. Step 4: Simplify right side
    391,864.59x = 125,920,571,110.38
  5. Step 5: Solve for x
    x = 125,920,571,110.38/391,864.59
  6. Step 6: Final answer
    x = 321,336.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.