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Finding the Fourth Proportional to 407,797.40, 611,696.10 and 323,816.60

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Solution

The fourth proportional to 407,797.40, 611,696.10 and 323,816.60 is: 485,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,797.40 : 611,696.10 = 323,816.60 : x
  2. Step 2: Convert to fraction form
    407,797.40/611,696.10 = 323,816.60/x
  3. Step 3: Cross multiply
    407,797.40x = 611,696.10 × 323,816.60
  4. Step 4: Simplify right side
    407,797.40x = 198,077,351,335.26
  5. Step 5: Solve for x
    x = 198,077,351,335.26/407,797.40
  6. Step 6: Final answer
    x = 485,724.90

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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.