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Finding the Fourth Proportional to 305,996, 422,314.08 and 171,860

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Solution

The fourth proportional to 305,996, 422,314.08 and 171,860 is: 237,189.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,996 : 422,314.08 = 171,860 : x
  2. Step 2: Convert to fraction form
    305,996/422,314.08 = 171,860/x
  3. Step 3: Cross multiply
    305,996x = 422,314.08 × 171,860
  4. Step 4: Simplify right side
    305,996x = 72,578,897,788.80
  5. Step 5: Solve for x
    x = 72,578,897,788.80/305,996
  6. Step 6: Final answer
    x = 237,189.04

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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.