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Finding the Fourth Proportional to 408,298.84, 612,572.86 and 208,759.38

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Solution

The fourth proportional to 408,298.84, 612,572.86 and 208,759.38 is: 313,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,298.84 : 612,572.86 = 208,759.38 : x
  2. Step 2: Convert to fraction form
    408,298.84/612,572.86 = 208,759.38/x
  3. Step 3: Cross multiply
    408,298.84x = 612,572.86 × 208,759.38
  4. Step 4: Simplify right side
    408,298.84x = 127,880,330,458.43
  5. Step 5: Solve for x
    x = 127,880,330,458.43/408,298.84
  6. Step 6: Final answer
    x = 313,202.78

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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.