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Finding the Fourth Proportional to 485,400.61, 728,032.87 and 204,852.25

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Solution

The fourth proportional to 485,400.61, 728,032.87 and 204,852.25 is: 307,249.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,400.61 : 728,032.87 = 204,852.25 : x
  2. Step 2: Convert to fraction form
    485,400.61/728,032.87 = 204,852.25/x
  3. Step 3: Cross multiply
    485,400.61x = 728,032.87 × 204,852.25
  4. Step 4: Simplify right side
    485,400.61x = 149,139,171,493.46
  5. Step 5: Solve for x
    x = 149,139,171,493.46/485,400.61
  6. Step 6: Final answer
    x = 307,249.66

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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.