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Finding the Fourth Proportional to 709,125.75, 978,675.48 and 394,829.24

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Solution

The fourth proportional to 709,125.75, 978,675.48 and 394,829.24 is: 544,909.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,125.75 : 978,675.48 = 394,829.24 : x
  2. Step 2: Convert to fraction form
    709,125.75/978,675.48 = 394,829.24/x
  3. Step 3: Cross multiply
    709,125.75x = 978,675.48 × 394,829.24
  4. Step 4: Simplify right side
    709,125.75x = 386,409,691,081.66
  5. Step 5: Solve for x
    x = 386,409,691,081.66/709,125.75
  6. Step 6: Final answer
    x = 544,909.97

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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.