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Finding the Fourth Proportional to 386,685.74, 580,258.24 and 209,188.82

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Solution

The fourth proportional to 386,685.74, 580,258.24 and 209,188.82 is: 313,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,685.74 : 580,258.24 = 209,188.82 : x
  2. Step 2: Convert to fraction form
    386,685.74/580,258.24 = 209,188.82/x
  3. Step 3: Cross multiply
    386,685.74x = 580,258.24 × 209,188.82
  4. Step 4: Simplify right side
    386,685.74x = 121,383,536,520.88
  5. Step 5: Solve for x
    x = 121,383,536,520.88/386,685.74
  6. Step 6: Final answer
    x = 313,907.45

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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.