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Finding the Fourth Proportional to 709,121.44, 978,745.38 and 450,946.06

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Solution

The fourth proportional to 709,121.44, 978,745.38 and 450,946.06 is: 622,405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,121.44 : 978,745.38 = 450,946.06 : x
  2. Step 2: Convert to fraction form
    709,121.44/978,745.38 = 450,946.06/x
  3. Step 3: Cross multiply
    709,121.44x = 978,745.38 × 450,946.06
  4. Step 4: Simplify right side
    709,121.44x = 441,361,372,854.20
  5. Step 5: Solve for x
    x = 441,361,372,854.20/709,121.44
  6. Step 6: Final answer
    x = 622,405.91

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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.