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Finding the Fourth Proportional to 408,072.60, 612,108.90 and 405,448.20

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Solution

The fourth proportional to 408,072.60, 612,108.90 and 405,448.20 is: 608,172.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,072.60 : 612,108.90 = 405,448.20 : x
  2. Step 2: Convert to fraction form
    408,072.60/612,108.90 = 405,448.20/x
  3. Step 3: Cross multiply
    408,072.60x = 612,108.90 × 405,448.20
  4. Step 4: Simplify right side
    408,072.60x = 248,178,451,708.98
  5. Step 5: Solve for x
    x = 248,178,451,708.98/408,072.60
  6. Step 6: Final answer
    x = 608,172.30

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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.