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Finding the Fourth Proportional to 419,754.84, 579,244.82 and 228,764.13

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Solution

The fourth proportional to 419,754.84, 579,244.82 and 228,764.13 is: 315,685.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,754.84 : 579,244.82 = 228,764.13 : x
  2. Step 2: Convert to fraction form
    419,754.84/579,244.82 = 228,764.13/x
  3. Step 3: Cross multiply
    419,754.84x = 579,244.82 × 228,764.13
  4. Step 4: Simplify right side
    419,754.84x = 132,510,436,160.49
  5. Step 5: Solve for x
    x = 132,510,436,160.49/419,754.84
  6. Step 6: Final answer
    x = 315,685.31

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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.