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Finding the Fourth Proportional to 408,912.40, 613,368.60 and 113,424.40

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Solution

The fourth proportional to 408,912.40, 613,368.60 and 113,424.40 is: 170,136.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,912.40 : 613,368.60 = 113,424.40 : x
  2. Step 2: Convert to fraction form
    408,912.40/613,368.60 = 113,424.40/x
  3. Step 3: Cross multiply
    408,912.40x = 613,368.60 × 113,424.40
  4. Step 4: Simplify right side
    408,912.40x = 69,570,965,433.84
  5. Step 5: Solve for x
    x = 69,570,965,433.84/408,912.40
  6. Step 6: Final answer
    x = 170,136.60

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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.