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Finding the Fourth Proportional to 709,145.26, 978,620.44 and 386,856.64

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Solution

The fourth proportional to 709,145.26, 978,620.44 and 386,856.64 is: 533,862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,145.26 : 978,620.44 = 386,856.64 : x
  2. Step 2: Convert to fraction form
    709,145.26/978,620.44 = 386,856.64/x
  3. Step 3: Cross multiply
    709,145.26x = 978,620.44 × 386,856.64
  4. Step 4: Simplify right side
    709,145.26x = 378,585,815,253.72
  5. Step 5: Solve for x
    x = 378,585,815,253.72/709,145.26
  6. Step 6: Final answer
    x = 533,862.15

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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.