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Finding the Fourth Proportional to 1,978,357.02, 2,729,265.87 and 1,162,192.51

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Solution

The fourth proportional to 1,978,357.02, 2,729,265.87 and 1,162,192.51 is: 1,603,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978,357.02 : 2,729,265.87 = 1,162,192.51 : x
  2. Step 2: Convert to fraction form
    1,978,357.02/2,729,265.87 = 1,162,192.51/x
  3. Step 3: Cross multiply
    1,978,357.02x = 2,729,265.87 × 1,162,192.51
  4. Step 4: Simplify right side
    1,978,357.02x = 3,171,932,351,912.63
  5. Step 5: Solve for x
    x = 3,171,932,351,912.63/1,978,357.02
  6. Step 6: Final answer
    x = 1,603,316.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.