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Finding the Fourth Proportional to 400,996.63, 602,435.52 and 378,299.22

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Solution

The fourth proportional to 400,996.63, 602,435.52 and 378,299.22 is: 568,336.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,996.63 : 602,435.52 = 378,299.22 : x
  2. Step 2: Convert to fraction form
    400,996.63/602,435.52 = 378,299.22/x
  3. Step 3: Cross multiply
    400,996.63x = 602,435.52 × 378,299.22
  4. Step 4: Simplify right side
    400,996.63x = 227,900,887,316.29
  5. Step 5: Solve for x
    x = 227,900,887,316.29/400,996.63
  6. Step 6: Final answer
    x = 568,336.17

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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.