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Finding the Fourth Proportional to 279,590.70, 418,971.32 and 205,355.82

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Solution

The fourth proportional to 279,590.70, 418,971.32 and 205,355.82 is: 307,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,590.70 : 418,971.32 = 205,355.82 : x
  2. Step 2: Convert to fraction form
    279,590.70/418,971.32 = 205,355.82/x
  3. Step 3: Cross multiply
    279,590.70x = 418,971.32 × 205,355.82
  4. Step 4: Simplify right side
    279,590.70x = 86,038,198,975.08
  5. Step 5: Solve for x
    x = 86,038,198,975.08/279,590.70
  6. Step 6: Final answer
    x = 307,729.12

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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.