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Finding the Fourth Proportional to 485,865.20, 728,797.80 and 420,911.30

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Solution

The fourth proportional to 485,865.20, 728,797.80 and 420,911.30 is: 631,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,865.20 : 728,797.80 = 420,911.30 : x
  2. Step 2: Convert to fraction form
    485,865.20/728,797.80 = 420,911.30/x
  3. Step 3: Cross multiply
    485,865.20x = 728,797.80 × 420,911.30
  4. Step 4: Simplify right side
    485,865.20x = 306,759,229,435.14
  5. Step 5: Solve for x
    x = 306,759,229,435.14/485,865.20
  6. Step 6: Final answer
    x = 631,366.95

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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.