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Finding the Fourth Proportional to 511,350.38, 705,687.69 and 284,997.50

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Solution

The fourth proportional to 511,350.38, 705,687.69 and 284,997.50 is: 393,310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,350.38 : 705,687.69 = 284,997.50 : x
  2. Step 2: Convert to fraction form
    511,350.38/705,687.69 = 284,997.50/x
  3. Step 3: Cross multiply
    511,350.38x = 705,687.69 × 284,997.50
  4. Step 4: Simplify right side
    511,350.38x = 201,119,227,430.78
  5. Step 5: Solve for x
    x = 201,119,227,430.78/511,350.38
  6. Step 6: Final answer
    x = 393,310.02

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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.