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Finding the Fourth Proportional to 391,654, 540,485.82 and 212,806

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Solution

The fourth proportional to 391,654, 540,485.82 and 212,806 is: 293,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,654 : 540,485.82 = 212,806 : x
  2. Step 2: Convert to fraction form
    391,654/540,485.82 = 212,806/x
  3. Step 3: Cross multiply
    391,654x = 540,485.82 × 212,806
  4. Step 4: Simplify right side
    391,654x = 115,018,625,410.92
  5. Step 5: Solve for x
    x = 115,018,625,410.92/391,654
  6. Step 6: Final answer
    x = 293,674.07

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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.