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Finding the Fourth Proportional to 205,211.64, 308,310.66 and 193,882.44

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Solution

The fourth proportional to 205,211.64, 308,310.66 and 193,882.44 is: 291,289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,211.64 : 308,310.66 = 193,882.44 : x
  2. Step 2: Convert to fraction form
    205,211.64/308,310.66 = 193,882.44/x
  3. Step 3: Cross multiply
    205,211.64x = 308,310.66 × 193,882.44
  4. Step 4: Simplify right side
    205,211.64x = 59,776,023,038.81
  5. Step 5: Solve for x
    x = 59,776,023,038.81/205,211.64
  6. Step 6: Final answer
    x = 291,289.63

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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.