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Finding the Fourth Proportional to 419,274.56, 578,591.40 and 228,284.48

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Solution

The fourth proportional to 419,274.56, 578,591.40 and 228,284.48 is: 315,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,274.56 : 578,591.40 = 228,284.48 : x
  2. Step 2: Convert to fraction form
    419,274.56/578,591.40 = 228,284.48/x
  3. Step 3: Cross multiply
    419,274.56x = 578,591.40 × 228,284.48
  4. Step 4: Simplify right side
    419,274.56x = 132,083,436,881.47
  5. Step 5: Solve for x
    x = 132,083,436,881.47/419,274.56
  6. Step 6: Final answer
    x = 315,028.50

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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.