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Finding the Fourth Proportional to 408,999.05, 612,584.97 and 296,420.82

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Solution

The fourth proportional to 408,999.05, 612,584.97 and 296,420.82 is: 443,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,999.05 : 612,584.97 = 296,420.82 : x
  2. Step 2: Convert to fraction form
    408,999.05/612,584.97 = 296,420.82/x
  3. Step 3: Cross multiply
    408,999.05x = 612,584.97 × 296,420.82
  4. Step 4: Simplify right side
    408,999.05x = 181,582,939,127.08
  5. Step 5: Solve for x
    x = 181,582,939,127.08/408,999.05
  6. Step 6: Final answer
    x = 443,969.10

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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.