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Finding the Fourth Proportional to 419,058.36, 628,646.22 and 134,653.32

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Solution

The fourth proportional to 419,058.36, 628,646.22 and 134,653.32 is: 201,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,058.36 : 628,646.22 = 134,653.32 : x
  2. Step 2: Convert to fraction form
    419,058.36/628,646.22 = 134,653.32/x
  3. Step 3: Cross multiply
    419,058.36x = 628,646.22 × 134,653.32
  4. Step 4: Simplify right side
    419,058.36x = 84,649,300,628.45
  5. Step 5: Solve for x
    x = 84,649,300,628.45/419,058.36
  6. Step 6: Final answer
    x = 201,998.84

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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.