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Finding the Fourth Proportional to 709,091.24, 978,539.66 and 386,794.41

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Solution

The fourth proportional to 709,091.24, 978,539.66 and 386,794.41 is: 533,772.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,091.24 : 978,539.66 = 386,794.41 : x
  2. Step 2: Convert to fraction form
    709,091.24/978,539.66 = 386,794.41/x
  3. Step 3: Cross multiply
    709,091.24x = 978,539.66 × 386,794.41
  4. Step 4: Simplify right side
    709,091.24x = 378,493,675,642.57
  5. Step 5: Solve for x
    x = 378,493,675,642.57/709,091.24
  6. Step 6: Final answer
    x = 533,772.88

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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.