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Finding the Fourth Proportional to 709,008.75, 978,514.77 and 403,130.97

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Solution

The fourth proportional to 709,008.75, 978,514.77 and 403,130.97 is: 556,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,008.75 : 978,514.77 = 403,130.97 : x
  2. Step 2: Convert to fraction form
    709,008.75/978,514.77 = 403,130.97/x
  3. Step 3: Cross multiply
    709,008.75x = 978,514.77 × 403,130.97
  4. Step 4: Simplify right side
    709,008.75x = 394,469,608,389.43
  5. Step 5: Solve for x
    x = 394,469,608,389.43/709,008.75
  6. Step 6: Final answer
    x = 556,367.76

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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.