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Finding the Fourth Proportional to 511,072.84, 705,364.50 and 284,791.24

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Solution

The fourth proportional to 511,072.84, 705,364.50 and 284,791.24 is: 393,058.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,072.84 : 705,364.50 = 284,791.24 : x
  2. Step 2: Convert to fraction form
    511,072.84/705,364.50 = 284,791.24/x
  3. Step 3: Cross multiply
    511,072.84x = 705,364.50 × 284,791.24
  4. Step 4: Simplify right side
    511,072.84x = 200,881,630,606.98
  5. Step 5: Solve for x
    x = 200,881,630,606.98/511,072.84
  6. Step 6: Final answer
    x = 393,058.71

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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.