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Finding the Fourth Proportional to 419,025.40, 627,846.90 and 356,817.40

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Solution

The fourth proportional to 419,025.40, 627,846.90 and 356,817.40 is: 534,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,025.40 : 627,846.90 = 356,817.40 : x
  2. Step 2: Convert to fraction form
    419,025.40/627,846.90 = 356,817.40/x
  3. Step 3: Cross multiply
    419,025.40x = 627,846.90 × 356,817.40
  4. Step 4: Simplify right side
    419,025.40x = 224,026,698,456.06
  5. Step 5: Solve for x
    x = 224,026,698,456.06/419,025.40
  6. Step 6: Final answer
    x = 534,637.51

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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.