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Finding the Fourth Proportional to 203,865.90, 304,814.70 and 150,721.80

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Solution

The fourth proportional to 203,865.90, 304,814.70 and 150,721.80 is: 225,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,865.90 : 304,814.70 = 150,721.80 : x
  2. Step 2: Convert to fraction form
    203,865.90/304,814.70 = 150,721.80/x
  3. Step 3: Cross multiply
    203,865.90x = 304,814.70 × 150,721.80
  4. Step 4: Simplify right side
    203,865.90x = 45,942,220,250.46
  5. Step 5: Solve for x
    x = 45,942,220,250.46/203,865.90
  6. Step 6: Final answer
    x = 225,355.10

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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.