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Finding the Fourth Proportional to 378,471.46, 567,064.53 and 228,396.40

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Solution

The fourth proportional to 378,471.46, 567,064.53 and 228,396.40 is: 342,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,471.46 : 567,064.53 = 228,396.40 : x
  2. Step 2: Convert to fraction form
    378,471.46/567,064.53 = 228,396.40/x
  3. Step 3: Cross multiply
    378,471.46x = 567,064.53 × 228,396.40
  4. Step 4: Simplify right side
    378,471.46x = 129,515,497,219.69
  5. Step 5: Solve for x
    x = 129,515,497,219.69/378,471.46
  6. Step 6: Final answer
    x = 342,206.77

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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.