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Finding the Fourth Proportional to 408,293.28, 612,564.44 and 208,753.83

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Solution

The fourth proportional to 408,293.28, 612,564.44 and 208,753.83 is: 313,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,293.28 : 612,564.44 = 208,753.83 : x
  2. Step 2: Convert to fraction form
    408,293.28/612,564.44 = 208,753.83/x
  3. Step 3: Cross multiply
    408,293.28x = 612,564.44 × 208,753.83
  4. Step 4: Simplify right side
    408,293.28x = 127,875,171,928.04
  5. Step 5: Solve for x
    x = 127,875,171,928.04/408,293.28
  6. Step 6: Final answer
    x = 313,194.41

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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.