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Finding the Fourth Proportional to 419,311.18, 578,659.80 and 228,334.96

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Solution

The fourth proportional to 419,311.18, 578,659.80 and 228,334.96 is: 315,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,311.18 : 578,659.80 = 228,334.96 : x
  2. Step 2: Convert to fraction form
    419,311.18/578,659.80 = 228,334.96/x
  3. Step 3: Cross multiply
    419,311.18x = 578,659.80 × 228,334.96
  4. Step 4: Simplify right side
    419,311.18x = 132,128,262,286.61
  5. Step 5: Solve for x
    x = 132,128,262,286.61/419,311.18
  6. Step 6: Final answer
    x = 315,107.89

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1.5x scale

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.