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Finding the Fourth Proportional to 378,318.86, 566,477.12 and 228,358.70

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Solution

The fourth proportional to 378,318.86, 566,477.12 and 228,358.70 is: 341,933.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,318.86 : 566,477.12 = 228,358.70 : x
  2. Step 2: Convert to fraction form
    378,318.86/566,477.12 = 228,358.70/x
  3. Step 3: Cross multiply
    378,318.86x = 566,477.12 × 228,358.70
  4. Step 4: Simplify right side
    378,318.86x = 129,359,978,702.94
  5. Step 5: Solve for x
    x = 129,359,978,702.94/378,318.86
  6. Step 6: Final answer
    x = 341,933.73

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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.