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Finding the Fourth Proportional to 419,327.20, 628,069.20 and 410,111.20

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Solution

The fourth proportional to 419,327.20, 628,069.20 and 410,111.20 is: 614,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,327.20 : 628,069.20 = 410,111.20 : x
  2. Step 2: Convert to fraction form
    419,327.20/628,069.20 = 410,111.20/x
  3. Step 3: Cross multiply
    419,327.20x = 628,069.20 × 410,111.20
  4. Step 4: Simplify right side
    419,327.20x = 257,578,213,295.04
  5. Step 5: Solve for x
    x = 257,578,213,295.04/419,327.20
  6. Step 6: Final answer
    x = 614,265.45

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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.