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Finding the Fourth Proportional to 511,048.96, 700,139.58 and 491,894.79

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Solution

The fourth proportional to 511,048.96, 700,139.58 and 491,894.79 is: 673,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,048.96 : 700,139.58 = 491,894.79 : x
  2. Step 2: Convert to fraction form
    511,048.96/700,139.58 = 491,894.79/x
  3. Step 3: Cross multiply
    511,048.96x = 700,139.58 × 491,894.79
  4. Step 4: Simplify right side
    511,048.96x = 344,395,005,714.62
  5. Step 5: Solve for x
    x = 344,395,005,714.62/511,048.96
  6. Step 6: Final answer
    x = 673,898.27

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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.