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Finding the Fourth Proportional to 408,412.94, 612,622.44 and 142,172.82

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Solution

The fourth proportional to 408,412.94, 612,622.44 and 142,172.82 is: 213,260.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,412.94 : 612,622.44 = 142,172.82 : x
  2. Step 2: Convert to fraction form
    408,412.94/612,622.44 = 142,172.82/x
  3. Step 3: Cross multiply
    408,412.94x = 612,622.44 × 142,172.82
  4. Step 4: Simplify right side
    408,412.94x = 87,098,259,890.08
  5. Step 5: Solve for x
    x = 87,098,259,890.08/408,412.94
  6. Step 6: Final answer
    x = 213,260.29

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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.