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Finding the Fourth Proportional to 419,132.04, 628,698.28 and 138,649.30

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Solution

The fourth proportional to 419,132.04, 628,698.28 and 138,649.30 is: 207,974.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,132.04 : 628,698.28 = 138,649.30 : x
  2. Step 2: Convert to fraction form
    419,132.04/628,698.28 = 138,649.30/x
  3. Step 3: Cross multiply
    419,132.04x = 628,698.28 × 138,649.30
  4. Step 4: Simplify right side
    419,132.04x = 87,168,576,433.20
  5. Step 5: Solve for x
    x = 87,168,576,433.20/419,132.04
  6. Step 6: Final answer
    x = 207,974.02

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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.