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Finding the Fourth Proportional to 419,627.14, 579,069.20 and 228,641.96

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Solution

The fourth proportional to 419,627.14, 579,069.20 and 228,641.96 is: 315,517.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,627.14 : 579,069.20 = 228,641.96 : x
  2. Step 2: Convert to fraction form
    419,627.14/579,069.20 = 228,641.96/x
  3. Step 3: Cross multiply
    419,627.14x = 579,069.20 × 228,641.96
  4. Step 4: Simplify right side
    419,627.14x = 132,399,516,863.63
  5. Step 5: Solve for x
    x = 132,399,516,863.63/419,627.14
  6. Step 6: Final answer
    x = 315,517.05

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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.