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Finding the Fourth Proportional to 419,717.27, 579,192.99 and 228,726.56

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Solution

The fourth proportional to 419,717.27, 579,192.99 and 228,726.56 is: 315,633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,717.27 : 579,192.99 = 228,726.56 : x
  2. Step 2: Convert to fraction form
    419,717.27/579,192.99 = 228,726.56/x
  3. Step 3: Cross multiply
    419,717.27x = 579,192.99 × 228,726.56
  4. Step 4: Simplify right side
    419,717.27x = 132,476,820,178.81
  5. Step 5: Solve for x
    x = 132,476,820,178.81/419,717.27
  6. Step 6: Final answer
    x = 315,633.47

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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.