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Finding the Fourth Proportional to 507,239.08, 699,961.92 and 280,870

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Solution

The fourth proportional to 507,239.08, 699,961.92 and 280,870 is: 387,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,239.08 : 699,961.92 = 280,870 : x
  2. Step 2: Convert to fraction form
    507,239.08/699,961.92 = 280,870/x
  3. Step 3: Cross multiply
    507,239.08x = 699,961.92 × 280,870
  4. Step 4: Simplify right side
    507,239.08x = 196,598,304,470.40
  5. Step 5: Solve for x
    x = 196,598,304,470.40/507,239.08
  6. Step 6: Final answer
    x = 387,585.09

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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.