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Finding the Fourth Proportional to 298,576.48, 412,064.64 and 222,993.76

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Solution

The fourth proportional to 298,576.48, 412,064.64 and 222,993.76 is: 307,753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,576.48 : 412,064.64 = 222,993.76 : x
  2. Step 2: Convert to fraction form
    298,576.48/412,064.64 = 222,993.76/x
  3. Step 3: Cross multiply
    298,576.48x = 412,064.64 × 222,993.76
  4. Step 4: Simplify right side
    298,576.48x = 91,887,843,436.65
  5. Step 5: Solve for x
    x = 91,887,843,436.65/298,576.48
  6. Step 6: Final answer
    x = 307,753.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.