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Finding the Fourth Proportional to 378,147.50, 567,221.24 and 259,459.01

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Solution

The fourth proportional to 378,147.50, 567,221.24 and 259,459.01 is: 389,188.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,147.50 : 567,221.24 = 259,459.01 : x
  2. Step 2: Convert to fraction form
    378,147.50/567,221.24 = 259,459.01/x
  3. Step 3: Cross multiply
    378,147.50x = 567,221.24 × 259,459.01
  4. Step 4: Simplify right side
    378,147.50x = 147,170,660,084.08
  5. Step 5: Solve for x
    x = 147,170,660,084.08/378,147.50
  6. Step 6: Final answer
    x = 389,188.50

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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.