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Finding the Fourth Proportional to 485,055.70, 727,583.55 and 408,073.30

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Solution

The fourth proportional to 485,055.70, 727,583.55 and 408,073.30 is: 612,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,055.70 : 727,583.55 = 408,073.30 : x
  2. Step 2: Convert to fraction form
    485,055.70/727,583.55 = 408,073.30/x
  3. Step 3: Cross multiply
    485,055.70x = 727,583.55 × 408,073.30
  4. Step 4: Simplify right side
    485,055.70x = 296,907,420,274.22
  5. Step 5: Solve for x
    x = 296,907,420,274.22/485,055.70
  6. Step 6: Final answer
    x = 612,109.95

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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.