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Finding the Fourth Proportional to 485,871.20, 728,806.80 and 420,917.30

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Solution

The fourth proportional to 485,871.20, 728,806.80 and 420,917.30 is: 631,375.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,871.20 : 728,806.80 = 420,917.30 : x
  2. Step 2: Convert to fraction form
    485,871.20/728,806.80 = 420,917.30/x
  3. Step 3: Cross multiply
    485,871.20x = 728,806.80 × 420,917.30
  4. Step 4: Simplify right side
    485,871.20x = 306,767,390,477.64
  5. Step 5: Solve for x
    x = 306,767,390,477.64/485,871.20
  6. Step 6: Final answer
    x = 631,375.95

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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.