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Finding the Fourth Proportional to 419,274.09, 578,608.65 and 228,297.96

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Solution

The fourth proportional to 419,274.09, 578,608.65 and 228,297.96 is: 315,056.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,274.09 : 578,608.65 = 228,297.96 : x
  2. Step 2: Convert to fraction form
    419,274.09/578,608.65 = 228,297.96/x
  3. Step 3: Cross multiply
    419,274.09x = 578,608.65 × 228,297.96
  4. Step 4: Simplify right side
    419,274.09x = 132,095,174,433.35
  5. Step 5: Solve for x
    x = 132,095,174,433.35/419,274.09
  6. Step 6: Final answer
    x = 315,056.85

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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.