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Finding the Fourth Proportional to 419,078.52, 578,328.39 and 228,093.30

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Solution

The fourth proportional to 419,078.52, 578,328.39 and 228,093.30 is: 314,768.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,078.52 : 578,328.39 = 228,093.30 : x
  2. Step 2: Convert to fraction form
    419,078.52/578,328.39 = 228,093.30/x
  3. Step 3: Cross multiply
    419,078.52x = 578,328.39 × 228,093.30
  4. Step 4: Simplify right side
    419,078.52x = 131,912,830,958.79
  5. Step 5: Solve for x
    x = 131,912,830,958.79/419,078.52
  6. Step 6: Final answer
    x = 314,768.77

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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.