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Finding the Fourth Proportional to 652,131.20, 978,196.80 and 403,299.20

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Solution

The fourth proportional to 652,131.20, 978,196.80 and 403,299.20 is: 604,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,131.20 : 978,196.80 = 403,299.20 : x
  2. Step 2: Convert to fraction form
    652,131.20/978,196.80 = 403,299.20/x
  3. Step 3: Cross multiply
    652,131.20x = 978,196.80 × 403,299.20
  4. Step 4: Simplify right side
    652,131.20x = 394,505,986,882.56
  5. Step 5: Solve for x
    x = 394,505,986,882.56/652,131.20
  6. Step 6: Final answer
    x = 604,948.80

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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.