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Finding the Fourth Proportional to 686,669.22, 1,029,807 and 206,943.48

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Solution

The fourth proportional to 686,669.22, 1,029,807 and 206,943.48 is: 310,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,669.22 : 1,029,807 = 206,943.48 : x
  2. Step 2: Convert to fraction form
    686,669.22/1,029,807 = 206,943.48/x
  3. Step 3: Cross multiply
    686,669.22x = 1,029,807 × 206,943.48
  4. Step 4: Simplify right side
    686,669.22x = 213,111,844,308.36
  5. Step 5: Solve for x
    x = 213,111,844,308.36/686,669.22
  6. Step 6: Final answer
    x = 310,355.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.