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Finding the Fourth Proportional to 419,507.40, 629,055.06 and 179,587.38

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Solution

The fourth proportional to 419,507.40, 629,055.06 and 179,587.38 is: 269,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,507.40 : 629,055.06 = 179,587.38 : x
  2. Step 2: Convert to fraction form
    419,507.40/629,055.06 = 179,587.38/x
  3. Step 3: Cross multiply
    419,507.40x = 629,055.06 × 179,587.38
  4. Step 4: Simplify right side
    419,507.40x = 112,970,350,101.14
  5. Step 5: Solve for x
    x = 112,970,350,101.14/419,507.40
  6. Step 6: Final answer
    x = 269,292.87

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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.