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Finding the Fourth Proportional to 419,214.62, 578,516 and 228,227.96

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Solution

The fourth proportional to 419,214.62, 578,516 and 228,227.96 is: 314,954.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,214.62 : 578,516 = 228,227.96 : x
  2. Step 2: Convert to fraction form
    419,214.62/578,516 = 228,227.96/x
  3. Step 3: Cross multiply
    419,214.62x = 578,516 × 228,227.96
  4. Step 4: Simplify right side
    419,214.62x = 132,033,526,507.36
  5. Step 5: Solve for x
    x = 132,033,526,507.36/419,214.62
  6. Step 6: Final answer
    x = 314,954.49

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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.