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Finding the Fourth Proportional to 419,165.40, 628,748.10 and 251,203.80

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Solution

The fourth proportional to 419,165.40, 628,748.10 and 251,203.80 is: 376,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,165.40 : 628,748.10 = 251,203.80 : x
  2. Step 2: Convert to fraction form
    419,165.40/628,748.10 = 251,203.80/x
  3. Step 3: Cross multiply
    419,165.40x = 628,748.10 × 251,203.80
  4. Step 4: Simplify right side
    419,165.40x = 157,943,911,962.78
  5. Step 5: Solve for x
    x = 157,943,911,962.78/419,165.40
  6. Step 6: Final answer
    x = 376,805.70

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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.