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Finding the Fourth Proportional to 441,873.80, 662,921.10 and 142,382.60

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Solution

The fourth proportional to 441,873.80, 662,921.10 and 142,382.60 is: 213,609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,873.80 : 662,921.10 = 142,382.60 : x
  2. Step 2: Convert to fraction form
    441,873.80/662,921.10 = 142,382.60/x
  3. Step 3: Cross multiply
    441,873.80x = 662,921.10 × 142,382.60
  4. Step 4: Simplify right side
    441,873.80x = 94,388,429,812.86
  5. Step 5: Solve for x
    x = 94,388,429,812.86/441,873.80
  6. Step 6: Final answer
    x = 213,609.47

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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.