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Finding the Fourth Proportional to 419,188.50, 578,480.13 and 228,190.50

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Solution

The fourth proportional to 419,188.50, 578,480.13 and 228,190.50 is: 314,902.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,188.50 : 578,480.13 = 228,190.50 : x
  2. Step 2: Convert to fraction form
    419,188.50/578,480.13 = 228,190.50/x
  3. Step 3: Cross multiply
    419,188.50x = 578,480.13 × 228,190.50
  4. Step 4: Simplify right side
    419,188.50x = 132,003,670,104.77
  5. Step 5: Solve for x
    x = 132,003,670,104.77/419,188.50
  6. Step 6: Final answer
    x = 314,902.89

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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.