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Finding the Fourth Proportional to 419,717.16, 579,143.52 and 235,919.52

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Solution

The fourth proportional to 419,717.16, 579,143.52 and 235,919.52 is: 325,531.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,717.16 : 579,143.52 = 235,919.52 : x
  2. Step 2: Convert to fraction form
    419,717.16/579,143.52 = 235,919.52/x
  3. Step 3: Cross multiply
    419,717.16x = 579,143.52 × 235,919.52
  4. Step 4: Simplify right side
    419,717.16x = 136,631,261,249.51
  5. Step 5: Solve for x
    x = 136,631,261,249.51/419,717.16
  6. Step 6: Final answer
    x = 325,531.75

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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.