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Finding the Fourth Proportional to 485,651.61, 728,302.44 and 205,190.73

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Solution

The fourth proportional to 485,651.61, 728,302.44 and 205,190.73 is: 307,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,651.61 : 728,302.44 = 205,190.73 : x
  2. Step 2: Convert to fraction form
    485,651.61/728,302.44 = 205,190.73/x
  3. Step 3: Cross multiply
    485,651.61x = 728,302.44 × 205,190.73
  4. Step 4: Simplify right side
    485,651.61x = 149,440,909,324.38
  5. Step 5: Solve for x
    x = 149,440,909,324.38/485,651.61
  6. Step 6: Final answer
    x = 307,712.17

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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.