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Finding the Fourth Proportional to 1,409,713.28, 1,943,933.81 and 836,642.73

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Solution

The fourth proportional to 1,409,713.28, 1,943,933.81 and 836,642.73 is: 1,153,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,713.28 : 1,943,933.81 = 836,642.73 : x
  2. Step 2: Convert to fraction form
    1,409,713.28/1,943,933.81 = 836,642.73/x
  3. Step 3: Cross multiply
    1,409,713.28x = 1,943,933.81 × 836,642.73
  4. Step 4: Simplify right side
    1,409,713.28x = 1,626,378,089,737.70
  5. Step 5: Solve for x
    x = 1,626,378,089,737.70/1,409,713.28
  6. Step 6: Final answer
    x = 1,153,694.24

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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.