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Finding the Fourth Proportional to 419,213.52, 578,496.51 and 228,227.58

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Solution

The fourth proportional to 419,213.52, 578,496.51 and 228,227.58 is: 314,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,213.52 : 578,496.51 = 228,227.58 : x
  2. Step 2: Convert to fraction form
    419,213.52/578,496.51 = 228,227.58/x
  3. Step 3: Cross multiply
    419,213.52x = 578,496.51 × 228,227.58
  4. Step 4: Simplify right side
    419,213.52x = 132,028,858,515.75
  5. Step 5: Solve for x
    x = 132,028,858,515.75/419,213.52
  6. Step 6: Final answer
    x = 314,944.18

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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.