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Finding the Fourth Proportional to 378,015, 567,023.76 and 259,326.60

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Solution

The fourth proportional to 378,015, 567,023.76 and 259,326.60 is: 388,990.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,015 : 567,023.76 = 259,326.60 : x
  2. Step 2: Convert to fraction form
    378,015/567,023.76 = 259,326.60/x
  3. Step 3: Cross multiply
    378,015x = 567,023.76 × 259,326.60
  4. Step 4: Simplify right side
    378,015x = 147,044,343,800.02
  5. Step 5: Solve for x
    x = 147,044,343,800.02/378,015
  6. Step 6: Final answer
    x = 388,990.76

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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.