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Finding the Fourth Proportional to 378,011.36, 567,017.04 and 259,322.96

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Solution

The fourth proportional to 378,011.36, 567,017.04 and 259,322.96 is: 388,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,011.36 : 567,017.04 = 259,322.96 : x
  2. Step 2: Convert to fraction form
    378,011.36/567,017.04 = 259,322.96/x
  3. Step 3: Cross multiply
    378,011.36x = 567,017.04 × 259,322.96
  4. Step 4: Simplify right side
    378,011.36x = 147,040,537,183.24
  5. Step 5: Solve for x
    x = 147,040,537,183.24/378,011.36
  6. Step 6: Final answer
    x = 388,984.44

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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.