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Finding the Fourth Proportional to 378,577.78, 567,305.64 and 153,664.54

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Solution

The fourth proportional to 378,577.78, 567,305.64 and 153,664.54 is: 230,269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,577.78 : 567,305.64 = 153,664.54 : x
  2. Step 2: Convert to fraction form
    378,577.78/567,305.64 = 153,664.54/x
  3. Step 3: Cross multiply
    378,577.78x = 567,305.64 × 153,664.54
  4. Step 4: Simplify right side
    378,577.78x = 87,174,760,210.01
  5. Step 5: Solve for x
    x = 87,174,760,210.01/378,577.78
  6. Step 6: Final answer
    x = 230,269.09

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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.