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Finding the Fourth Proportional to 299,362.80, 413,110.36 and 178,441.72

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Solution

The fourth proportional to 299,362.80, 413,110.36 and 178,441.72 is: 246,243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,362.80 : 413,110.36 = 178,441.72 : x
  2. Step 2: Convert to fraction form
    299,362.80/413,110.36 = 178,441.72/x
  3. Step 3: Cross multiply
    299,362.80x = 413,110.36 × 178,441.72
  4. Step 4: Simplify right side
    299,362.80x = 73,716,123,188.22
  5. Step 5: Solve for x
    x = 73,716,123,188.22/299,362.80
  6. Step 6: Final answer
    x = 246,243.43

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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.