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Finding the Fourth Proportional to 498,080.80, 746,246.40 and 408,851.20

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Solution

The fourth proportional to 498,080.80, 746,246.40 and 408,851.20 is: 612,558.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,080.80 : 746,246.40 = 408,851.20 : x
  2. Step 2: Convert to fraction form
    498,080.80/746,246.40 = 408,851.20/x
  3. Step 3: Cross multiply
    498,080.80x = 746,246.40 × 408,851.20
  4. Step 4: Simplify right side
    498,080.80x = 305,103,736,135.68
  5. Step 5: Solve for x
    x = 305,103,736,135.68/498,080.80
  6. Step 6: Final answer
    x = 612,558.72

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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.