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Finding the Fourth Proportional to 511,048.46, 700,138.89 and 491,894.29

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Solution

The fourth proportional to 511,048.46, 700,138.89 and 491,894.29 is: 673,897.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,048.46 : 700,138.89 = 491,894.29 : x
  2. Step 2: Convert to fraction form
    511,048.46/700,138.89 = 491,894.29/x
  3. Step 3: Cross multiply
    511,048.46x = 700,138.89 × 491,894.29
  4. Step 4: Simplify right side
    511,048.46x = 344,394,319,134.83
  5. Step 5: Solve for x
    x = 344,394,319,134.83/511,048.46
  6. Step 6: Final answer
    x = 673,897.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.