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Finding the Fourth Proportional to 419,503.65, 578,912.07 and 228,517.04

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Solution

The fourth proportional to 419,503.65, 578,912.07 and 228,517.04 is: 315,351.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,503.65 : 578,912.07 = 228,517.04 : x
  2. Step 2: Convert to fraction form
    419,503.65/578,912.07 = 228,517.04/x
  3. Step 3: Cross multiply
    419,503.65x = 578,912.07 × 228,517.04
  4. Step 4: Simplify right side
    419,503.65x = 132,291,274,960.89
  5. Step 5: Solve for x
    x = 132,291,274,960.89/419,503.65
  6. Step 6: Final answer
    x = 315,351.91

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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.