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Finding the Fourth Proportional to 709,212.96, 978,691.36 and 403,322.56

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Solution

The fourth proportional to 709,212.96, 978,691.36 and 403,322.56 is: 556,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,212.96 : 978,691.36 = 403,322.56 : x
  2. Step 2: Convert to fraction form
    709,212.96/978,691.36 = 403,322.56/x
  3. Step 3: Cross multiply
    709,212.96x = 978,691.36 × 403,322.56
  4. Step 4: Simplify right side
    709,212.96x = 394,728,304,765.08
  5. Step 5: Solve for x
    x = 394,728,304,765.08/709,212.96
  6. Step 6: Final answer
    x = 556,572.32

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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.