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Finding the Fourth Proportional to 485,626.80, 728,051.40 and 204,913.20

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Solution

The fourth proportional to 485,626.80, 728,051.40 and 204,913.20 is: 307,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,626.80 : 728,051.40 = 204,913.20 : x
  2. Step 2: Convert to fraction form
    485,626.80/728,051.40 = 204,913.20/x
  3. Step 3: Cross multiply
    485,626.80x = 728,051.40 × 204,913.20
  4. Step 4: Simplify right side
    485,626.80x = 149,187,342,138.48
  5. Step 5: Solve for x
    x = 149,187,342,138.48/485,626.80
  6. Step 6: Final answer
    x = 307,205.74

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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.