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Finding the Fourth Proportional to 419,350, 578,685.64 and 228,362.96

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Solution

The fourth proportional to 419,350, 578,685.64 and 228,362.96 is: 315,131.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,350 : 578,685.64 = 228,362.96 : x
  2. Step 2: Convert to fraction form
    419,350/578,685.64 = 228,362.96/x
  3. Step 3: Cross multiply
    419,350x = 578,685.64 × 228,362.96
  4. Step 4: Simplify right side
    419,350x = 132,150,365,659.89
  5. Step 5: Solve for x
    x = 132,150,365,659.89/419,350
  6. Step 6: Final answer
    x = 315,131.43

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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.