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Finding the Fourth Proportional to 709,101.48, 978,578.50 and 386,817

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Solution

The fourth proportional to 709,101.48, 978,578.50 and 386,817 is: 533,817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,101.48 : 978,578.50 = 386,817 : x
  2. Step 2: Convert to fraction form
    709,101.48/978,578.50 = 386,817/x
  3. Step 3: Cross multiply
    709,101.48x = 978,578.50 × 386,817
  4. Step 4: Simplify right side
    709,101.48x = 378,530,799,634.50
  5. Step 5: Solve for x
    x = 378,530,799,634.50/709,101.48
  6. Step 6: Final answer
    x = 533,817.53

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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.