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Finding the Fourth Proportional to 378,476.97, 567,072.78 and 228,401.91

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Solution

The fourth proportional to 378,476.97, 567,072.78 and 228,401.91 is: 342,215.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,476.97 : 567,072.78 = 228,401.91 : x
  2. Step 2: Convert to fraction form
    378,476.97/567,072.78 = 228,401.91/x
  3. Step 3: Cross multiply
    378,476.97x = 567,072.78 × 228,401.91
  4. Step 4: Simplify right side
    378,476.97x = 129,520,506,061.01
  5. Step 5: Solve for x
    x = 129,520,506,061.01/378,476.97
  6. Step 6: Final answer
    x = 342,215.03

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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.