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Finding the Fourth Proportional to 709,214.96, 978,694.12 and 403,324.56

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Solution

The fourth proportional to 709,214.96, 978,694.12 and 403,324.56 is: 556,575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,214.96 : 978,694.12 = 403,324.56 : x
  2. Step 2: Convert to fraction form
    709,214.96/978,694.12 = 403,324.56/x
  3. Step 3: Cross multiply
    709,214.96x = 978,694.12 × 403,324.56
  4. Step 4: Simplify right side
    709,214.96x = 394,731,375,323.59
  5. Step 5: Solve for x
    x = 394,731,375,323.59/709,214.96
  6. Step 6: Final answer
    x = 556,575.08

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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.