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Finding the Fourth Proportional to 203,909.80, 305,864.70 and 185,210.95

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Solution

The fourth proportional to 203,909.80, 305,864.70 and 185,210.95 is: 277,816.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,909.80 : 305,864.70 = 185,210.95 : x
  2. Step 2: Convert to fraction form
    203,909.80/305,864.70 = 185,210.95/x
  3. Step 3: Cross multiply
    203,909.80x = 305,864.70 × 185,210.95
  4. Step 4: Simplify right side
    203,909.80x = 56,649,491,658.47
  5. Step 5: Solve for x
    x = 56,649,491,658.47/203,909.80
  6. Step 6: Final answer
    x = 277,816.43

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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.