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Finding the Fourth Proportional to 378,156.78, 567,233.10 and 218,128.98

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Solution

The fourth proportional to 378,156.78, 567,233.10 and 218,128.98 is: 327,192.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,156.78 : 567,233.10 = 218,128.98 : x
  2. Step 2: Convert to fraction form
    378,156.78/567,233.10 = 218,128.98/x
  3. Step 3: Cross multiply
    378,156.78x = 567,233.10 × 218,128.98
  4. Step 4: Simplify right side
    378,156.78x = 123,729,977,525.24
  5. Step 5: Solve for x
    x = 123,729,977,525.24/378,156.78
  6. Step 6: Final answer
    x = 327,192.28

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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.