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Finding the Fourth Proportional to 419,851.78, 579,067.73 and 290,838.94

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Solution

The fourth proportional to 419,851.78, 579,067.73 and 290,838.94 is: 401,130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,851.78 : 579,067.73 = 290,838.94 : x
  2. Step 2: Convert to fraction form
    419,851.78/579,067.73 = 290,838.94/x
  3. Step 3: Cross multiply
    419,851.78x = 579,067.73 × 290,838.94
  4. Step 4: Simplify right side
    419,851.78x = 168,415,444,781.41
  5. Step 5: Solve for x
    x = 168,415,444,781.41/419,851.78
  6. Step 6: Final answer
    x = 401,130.72

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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.