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Finding the Fourth Proportional to 378,474.96, 567,069.78 and 228,399.90

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Solution

The fourth proportional to 378,474.96, 567,069.78 and 228,399.90 is: 342,212.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,474.96 : 567,069.78 = 228,399.90 : x
  2. Step 2: Convert to fraction form
    378,474.96/567,069.78 = 228,399.90/x
  3. Step 3: Cross multiply
    378,474.96x = 567,069.78 × 228,399.90
  4. Step 4: Simplify right side
    378,474.96x = 129,518,681,045.02
  5. Step 5: Solve for x
    x = 129,518,681,045.02/378,474.96
  6. Step 6: Final answer
    x = 342,212.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.