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Finding the Fourth Proportional to 419,027.40, 628,541.10 and 251,065.80

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Solution

The fourth proportional to 419,027.40, 628,541.10 and 251,065.80 is: 376,598.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,027.40 : 628,541.10 = 251,065.80 : x
  2. Step 2: Convert to fraction form
    419,027.40/628,541.10 = 251,065.80/x
  3. Step 3: Cross multiply
    419,027.40x = 628,541.10 × 251,065.80
  4. Step 4: Simplify right side
    419,027.40x = 157,805,174,104.38
  5. Step 5: Solve for x
    x = 157,805,174,104.38/419,027.40
  6. Step 6: Final answer
    x = 376,598.70

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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.