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Finding the Fourth Proportional to 279,591.08, 418,971.89 and 205,356.20

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Solution

The fourth proportional to 279,591.08, 418,971.89 and 205,356.20 is: 307,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,591.08 : 418,971.89 = 205,356.20 : x
  2. Step 2: Convert to fraction form
    279,591.08/418,971.89 = 205,356.20/x
  3. Step 3: Cross multiply
    279,591.08x = 418,971.89 × 205,356.20
  4. Step 4: Simplify right side
    279,591.08x = 86,038,473,655.75
  5. Step 5: Solve for x
    x = 86,038,473,655.75/279,591.08
  6. Step 6: Final answer
    x = 307,729.69

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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.