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Finding the Fourth Proportional to 511,053.15, 700,145.31 and 491,898.96

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Solution

The fourth proportional to 511,053.15, 700,145.31 and 491,898.96 is: 673,903.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,053.15 : 700,145.31 = 491,898.96 : x
  2. Step 2: Convert to fraction form
    511,053.15/700,145.31 = 491,898.96/x
  3. Step 3: Cross multiply
    511,053.15x = 700,145.31 × 491,898.96
  4. Step 4: Simplify right side
    511,053.15x = 344,400,749,837.88
  5. Step 5: Solve for x
    x = 344,400,749,837.88/511,053.15
  6. Step 6: Final answer
    x = 673,903.98

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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.