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Finding the Fourth Proportional to 652,119.20, 978,178.80 and 403,287.20

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Solution

The fourth proportional to 652,119.20, 978,178.80 and 403,287.20 is: 604,930.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,119.20 : 978,178.80 = 403,287.20 : x
  2. Step 2: Convert to fraction form
    652,119.20/978,178.80 = 403,287.20/x
  3. Step 3: Cross multiply
    652,119.20x = 978,178.80 × 403,287.20
  4. Step 4: Simplify right side
    652,119.20x = 394,486,989,351.36
  5. Step 5: Solve for x
    x = 394,486,989,351.36/652,119.20
  6. Step 6: Final answer
    x = 604,930.80

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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.