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Finding the Fourth Proportional to 391,051.92, 586,799.78 and 211,134.94

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Solution

The fourth proportional to 391,051.92, 586,799.78 and 211,134.94 is: 316,822.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,051.92 : 586,799.78 = 211,134.94 : x
  2. Step 2: Convert to fraction form
    391,051.92/586,799.78 = 211,134.94/x
  3. Step 3: Cross multiply
    391,051.92x = 586,799.78 × 211,134.94
  4. Step 4: Simplify right side
    391,051.92x = 123,893,936,342.31
  5. Step 5: Solve for x
    x = 123,893,936,342.31/391,051.92
  6. Step 6: Final answer
    x = 316,822.22

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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.