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Finding the Fourth Proportional to 709,142.25, 978,616.31 and 386,853.65

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Solution

The fourth proportional to 709,142.25, 978,616.31 and 386,853.65 is: 533,858.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,142.25 : 978,616.31 = 386,853.65 : x
  2. Step 2: Convert to fraction form
    709,142.25/978,616.31 = 386,853.65/x
  3. Step 3: Cross multiply
    709,142.25x = 978,616.31 × 386,853.65
  4. Step 4: Simplify right side
    709,142.25x = 378,581,284,645.68
  5. Step 5: Solve for x
    x = 378,581,284,645.68/709,142.25
  6. Step 6: Final answer
    x = 533,858.03

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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.