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Finding the Fourth Proportional to 378,476.66, 567,072.30 and 228,401.58

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Solution

The fourth proportional to 378,476.66, 567,072.30 and 228,401.58 is: 342,214.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,476.66 : 567,072.30 = 228,401.58 : x
  2. Step 2: Convert to fraction form
    378,476.66/567,072.30 = 228,401.58/x
  3. Step 3: Cross multiply
    378,476.66x = 567,072.30 × 228,401.58
  4. Step 4: Simplify right side
    378,476.66x = 129,520,209,294.23
  5. Step 5: Solve for x
    x = 129,520,209,294.23/378,476.66
  6. Step 6: Final answer
    x = 342,214.52

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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.