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Finding the Fourth Proportional to 419,711.77, 579,185.40 and 228,721.06

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Solution

The fourth proportional to 419,711.77, 579,185.40 and 228,721.06 is: 315,625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,711.77 : 579,185.40 = 228,721.06 : x
  2. Step 2: Convert to fraction form
    419,711.77/579,185.40 = 228,721.06/x
  3. Step 3: Cross multiply
    419,711.77x = 579,185.40 × 228,721.06
  4. Step 4: Simplify right side
    419,711.77x = 132,471,898,624.52
  5. Step 5: Solve for x
    x = 132,471,898,624.52/419,711.77
  6. Step 6: Final answer
    x = 315,625.88

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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.