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Finding the Fourth Proportional to 511,049.62, 705,263.05 and 284,709.70

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Solution

The fourth proportional to 511,049.62, 705,263.05 and 284,709.70 is: 392,907.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,049.62 : 705,263.05 = 284,709.70 : x
  2. Step 2: Convert to fraction form
    511,049.62/705,263.05 = 284,709.70/x
  3. Step 3: Cross multiply
    511,049.62x = 705,263.05 × 284,709.70
  4. Step 4: Simplify right side
    511,049.62x = 200,795,231,386.59
  5. Step 5: Solve for x
    x = 200,795,231,386.59/511,049.62
  6. Step 6: Final answer
    x = 392,907.51

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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.