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Finding the Fourth Proportional to 419,850.78, 579,066.36 and 290,837.94

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Solution

The fourth proportional to 419,850.78, 579,066.36 and 290,837.94 is: 401,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,850.78 : 579,066.36 = 290,837.94 : x
  2. Step 2: Convert to fraction form
    419,850.78/579,066.36 = 290,837.94/x
  3. Step 3: Cross multiply
    419,850.78x = 579,066.36 × 290,837.94
  4. Step 4: Simplify right side
    419,850.78x = 168,414,465,811.51
  5. Step 5: Solve for x
    x = 168,414,465,811.51/419,850.78
  6. Step 6: Final answer
    x = 401,129.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.