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Finding the Fourth Proportional to 400,378.27, 600,660.84 and 116,074.75

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Solution

The fourth proportional to 400,378.27, 600,660.84 and 116,074.75 is: 174,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,378.27 : 600,660.84 = 116,074.75 : x
  2. Step 2: Convert to fraction form
    400,378.27/600,660.84 = 116,074.75/x
  3. Step 3: Cross multiply
    400,378.27x = 600,660.84 × 116,074.75
  4. Step 4: Simplify right side
    400,378.27x = 69,721,556,837.79
  5. Step 5: Solve for x
    x = 69,721,556,837.79/400,378.27
  6. Step 6: Final answer
    x = 174,139.21

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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.