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Finding the Fourth Proportional to 391,107, 539,727.66 and 212,259

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Solution

The fourth proportional to 391,107, 539,727.66 and 212,259 is: 292,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,107 : 539,727.66 = 212,259 : x
  2. Step 2: Convert to fraction form
    391,107/539,727.66 = 212,259/x
  3. Step 3: Cross multiply
    391,107x = 539,727.66 × 212,259
  4. Step 4: Simplify right side
    391,107x = 114,562,053,383.94
  5. Step 5: Solve for x
    x = 114,562,053,383.94/391,107
  6. Step 6: Final answer
    x = 292,917.42

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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.