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Finding the Fourth Proportional to 403,919.40, 557,411.42 and 231,791.42

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Solution

The fourth proportional to 403,919.40, 557,411.42 and 231,791.42 is: 319,873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,919.40 : 557,411.42 = 231,791.42 : x
  2. Step 2: Convert to fraction form
    403,919.40/557,411.42 = 231,791.42/x
  3. Step 3: Cross multiply
    403,919.40x = 557,411.42 × 231,791.42
  4. Step 4: Simplify right side
    403,919.40x = 129,203,184,566.02
  5. Step 5: Solve for x
    x = 129,203,184,566.02/403,919.40
  6. Step 6: Final answer
    x = 319,873.68

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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.