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Finding the Fourth Proportional to 378,415.50, 566,980.90 and 228,340.44

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Solution

The fourth proportional to 378,415.50, 566,980.90 and 228,340.44 is: 342,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,415.50 : 566,980.90 = 228,340.44 : x
  2. Step 2: Convert to fraction form
    378,415.50/566,980.90 = 228,340.44/x
  3. Step 3: Cross multiply
    378,415.50x = 566,980.90 × 228,340.44
  4. Step 4: Simplify right side
    378,415.50x = 129,464,668,177.60
  5. Step 5: Solve for x
    x = 129,464,668,177.60/378,415.50
  6. Step 6: Final answer
    x = 342,123.06

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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.