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Finding the Fourth Proportional to 485,144.48, 726,912.20 and 295,029.76

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Solution

The fourth proportional to 485,144.48, 726,912.20 and 295,029.76 is: 442,055.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,144.48 : 726,912.20 = 295,029.76 : x
  2. Step 2: Convert to fraction form
    485,144.48/726,912.20 = 295,029.76/x
  3. Step 3: Cross multiply
    485,144.48x = 726,912.20 × 295,029.76
  4. Step 4: Simplify right side
    485,144.48x = 214,460,731,907.07
  5. Step 5: Solve for x
    x = 214,460,731,907.07/485,144.48
  6. Step 6: Final answer
    x = 442,055.39

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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.