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Finding the Fourth Proportional to 391,864.85, 587,963.71 and 214,164.27

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Solution

The fourth proportional to 391,864.85, 587,963.71 and 214,164.27 is: 321,337.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,864.85 : 587,963.71 = 214,164.27 : x
  2. Step 2: Convert to fraction form
    391,864.85/587,963.71 = 214,164.27/x
  3. Step 3: Cross multiply
    391,864.85x = 587,963.71 × 214,164.27
  4. Step 4: Simplify right side
    391,864.85x = 125,920,814,728.00
  5. Step 5: Solve for x
    x = 125,920,814,728.00/391,864.85
  6. Step 6: Final answer
    x = 321,337.36

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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.