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Finding the Fourth Proportional to 485,561.31, 728,637.22 and 205,078.56

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Solution

The fourth proportional to 485,561.31, 728,637.22 and 205,078.56 is: 307,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,561.31 : 728,637.22 = 205,078.56 : x
  2. Step 2: Convert to fraction form
    485,561.31/728,637.22 = 205,078.56/x
  3. Step 3: Cross multiply
    485,561.31x = 728,637.22 × 205,078.56
  4. Step 4: Simplify right side
    485,561.31x = 149,427,871,840.00
  5. Step 5: Solve for x
    x = 149,427,871,840.00/485,561.31
  6. Step 6: Final answer
    x = 307,742.54

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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.