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Finding the Fourth Proportional to 402,198.20, 603,296.73 and 102,678.78

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Solution

The fourth proportional to 402,198.20, 603,296.73 and 102,678.78 is: 154,018.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,198.20 : 603,296.73 = 102,678.78 : x
  2. Step 2: Convert to fraction form
    402,198.20/603,296.73 = 102,678.78/x
  3. Step 3: Cross multiply
    402,198.20x = 603,296.73 × 102,678.78
  4. Step 4: Simplify right side
    402,198.20x = 61,945,772,214.39
  5. Step 5: Solve for x
    x = 61,945,772,214.39/402,198.20
  6. Step 6: Final answer
    x = 154,018.03

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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.