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Finding the Fourth Proportional to 200,738.70, 301,108.05 and 197,628.30

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Solution

The fourth proportional to 200,738.70, 301,108.05 and 197,628.30 is: 296,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,738.70 : 301,108.05 = 197,628.30 : x
  2. Step 2: Convert to fraction form
    200,738.70/301,108.05 = 197,628.30/x
  3. Step 3: Cross multiply
    200,738.70x = 301,108.05 × 197,628.30
  4. Step 4: Simplify right side
    200,738.70x = 59,507,472,037.82
  5. Step 5: Solve for x
    x = 59,507,472,037.82/200,738.70
  6. Step 6: Final answer
    x = 296,442.45

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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.