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Finding the Fourth Proportional to 400,997.40, 602,436.66 and 378,299.98

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Solution

The fourth proportional to 400,997.40, 602,436.66 and 378,299.98 is: 568,337.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,997.40 : 602,436.66 = 378,299.98 : x
  2. Step 2: Convert to fraction form
    400,997.40/602,436.66 = 378,299.98/x
  3. Step 3: Cross multiply
    400,997.40x = 602,436.66 × 378,299.98
  4. Step 4: Simplify right side
    400,997.40x = 227,901,776,429.27
  5. Step 5: Solve for x
    x = 227,901,776,429.27/400,997.40
  6. Step 6: Final answer
    x = 568,337.29

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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.