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Finding the Fourth Proportional to 709,028.28, 978,462.09 and 386,745.30

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Solution

The fourth proportional to 709,028.28, 978,462.09 and 386,745.30 is: 533,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,028.28 : 978,462.09 = 386,745.30 : x
  2. Step 2: Convert to fraction form
    709,028.28/978,462.09 = 386,745.30/x
  3. Step 3: Cross multiply
    709,028.28x = 978,462.09 × 386,745.30
  4. Step 4: Simplify right side
    709,028.28x = 378,415,614,535.68
  5. Step 5: Solve for x
    x = 378,415,614,535.68/709,028.28
  6. Step 6: Final answer
    x = 533,710.19

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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.