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Finding the Fourth Proportional to 419,513.09, 628,848.28 and 134,994.53

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Solution

The fourth proportional to 419,513.09, 628,848.28 and 134,994.53 is: 202,356.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,513.09 : 628,848.28 = 134,994.53 : x
  2. Step 2: Convert to fraction form
    419,513.09/628,848.28 = 134,994.53/x
  3. Step 3: Cross multiply
    419,513.09x = 628,848.28 × 134,994.53
  4. Step 4: Simplify right side
    419,513.09x = 84,891,079,234.54
  5. Step 5: Solve for x
    x = 84,891,079,234.54/419,513.09
  6. Step 6: Final answer
    x = 202,356.21

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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.