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Finding the Fourth Proportional to 485,648.54, 728,057.36 and 186,343.92

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Solution

The fourth proportional to 485,648.54, 728,057.36 and 186,343.92 is: 279,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,648.54 : 728,057.36 = 186,343.92 : x
  2. Step 2: Convert to fraction form
    485,648.54/728,057.36 = 186,343.92/x
  3. Step 3: Cross multiply
    485,648.54x = 728,057.36 × 186,343.92
  4. Step 4: Simplify right side
    485,648.54x = 135,669,061,515.53
  5. Step 5: Solve for x
    x = 135,669,061,515.53/485,648.54
  6. Step 6: Final answer
    x = 279,356.47

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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.