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Finding the Fourth Proportional to 511,225.28, 705,458.79 and 281,769.94

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Solution

The fourth proportional to 511,225.28, 705,458.79 and 281,769.94 is: 388,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,225.28 : 705,458.79 = 281,769.94 : x
  2. Step 2: Convert to fraction form
    511,225.28/705,458.79 = 281,769.94/x
  3. Step 3: Cross multiply
    511,225.28x = 705,458.79 × 281,769.94
  4. Step 4: Simplify right side
    511,225.28x = 198,777,082,605.07
  5. Step 5: Solve for x
    x = 198,777,082,605.07/511,225.28
  6. Step 6: Final answer
    x = 388,824.83

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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.