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Finding the Fourth Proportional to 412,860.40, 620,690.40 and 329,683.12

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Solution

The fourth proportional to 412,860.40, 620,690.40 and 329,683.12 is: 495,642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,860.40 : 620,690.40 = 329,683.12 : x
  2. Step 2: Convert to fraction form
    412,860.40/620,690.40 = 329,683.12/x
  3. Step 3: Cross multiply
    412,860.40x = 620,690.40 × 329,683.12
  4. Step 4: Simplify right side
    412,860.40x = 204,631,147,626.05
  5. Step 5: Solve for x
    x = 204,631,147,626.05/412,860.40
  6. Step 6: Final answer
    x = 495,642.47

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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.