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Finding the Fourth Proportional to 299,098.98, 412,550.42 and 178,146.54

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Solution

The fourth proportional to 299,098.98, 412,550.42 and 178,146.54 is: 245,719.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,098.98 : 412,550.42 = 178,146.54 : x
  2. Step 2: Convert to fraction form
    299,098.98/412,550.42 = 178,146.54/x
  3. Step 3: Cross multiply
    299,098.98x = 412,550.42 × 178,146.54
  4. Step 4: Simplify right side
    299,098.98x = 73,494,429,007.81
  5. Step 5: Solve for x
    x = 73,494,429,007.81/299,098.98
  6. Step 6: Final answer
    x = 245,719.42

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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.