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Finding the Fourth Proportional to 419,706.18, 579,195.27 and 228,719.58

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Solution

The fourth proportional to 419,706.18, 579,195.27 and 228,719.58 is: 315,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,706.18 : 579,195.27 = 228,719.58 : x
  2. Step 2: Convert to fraction form
    419,706.18/579,195.27 = 228,719.58/x
  3. Step 3: Cross multiply
    419,706.18x = 579,195.27 × 228,719.58
  4. Step 4: Simplify right side
    419,706.18x = 132,473,298,892.39
  5. Step 5: Solve for x
    x = 132,473,298,892.39/419,706.18
  6. Step 6: Final answer
    x = 315,633.42

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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.