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Finding the Fourth Proportional to 456,353.26, 687,610.64 and 378,131.97

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Solution

The fourth proportional to 456,353.26, 687,610.64 and 378,131.97 is: 569,750.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,353.26 : 687,610.64 = 378,131.97 : x
  2. Step 2: Convert to fraction form
    456,353.26/687,610.64 = 378,131.97/x
  3. Step 3: Cross multiply
    456,353.26x = 687,610.64 × 378,131.97
  4. Step 4: Simplify right side
    456,353.26x = 260,007,565,896.16
  5. Step 5: Solve for x
    x = 260,007,565,896.16/456,353.26
  6. Step 6: Final answer
    x = 569,750.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.