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Finding the Fourth Proportional to 1,297,933.92, 1,947,399.36 and 914,051.16

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Solution

The fourth proportional to 1,297,933.92, 1,947,399.36 and 914,051.16 is: 1,371,427.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297,933.92 : 1,947,399.36 = 914,051.16 : x
  2. Step 2: Convert to fraction form
    1,297,933.92/1,947,399.36 = 914,051.16/x
  3. Step 3: Cross multiply
    1,297,933.92x = 1,947,399.36 × 914,051.16
  4. Step 4: Simplify right side
    1,297,933.92x = 1,780,022,643,991.26
  5. Step 5: Solve for x
    x = 1,780,022,643,991.26/1,297,933.92
  6. Step 6: Final answer
    x = 1,371,427.79

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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.