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Finding the Fourth Proportional to 408,453.36, 612,876.60 and 307,905.90

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Solution

The fourth proportional to 408,453.36, 612,876.60 and 307,905.90 is: 462,007.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,453.36 : 612,876.60 = 307,905.90 : x
  2. Step 2: Convert to fraction form
    408,453.36/612,876.60 = 307,905.90/x
  3. Step 3: Cross multiply
    408,453.36x = 612,876.60 × 307,905.90
  4. Step 4: Simplify right side
    408,453.36x = 188,708,321,111.94
  5. Step 5: Solve for x
    x = 188,708,321,111.94/408,453.36
  6. Step 6: Final answer
    x = 462,007.02

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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.