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Finding the Fourth Proportional to 408,532.73, 612,602.26 and 142,287.35

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Solution

The fourth proportional to 408,532.73, 612,602.26 and 142,287.35 is: 213,362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,532.73 : 612,602.26 = 142,287.35 : x
  2. Step 2: Convert to fraction form
    408,532.73/612,602.26 = 142,287.35/x
  3. Step 3: Cross multiply
    408,532.73x = 612,602.26 × 142,287.35
  4. Step 4: Simplify right side
    408,532.73x = 87,165,548,760.68
  5. Step 5: Solve for x
    x = 87,165,548,760.68/408,532.73
  6. Step 6: Final answer
    x = 213,362.46

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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.