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Finding the Fourth Proportional to 299,328.78, 413,063.37 and 178,407.81

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Solution

The fourth proportional to 299,328.78, 413,063.37 and 178,407.81 is: 246,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,328.78 : 413,063.37 = 178,407.81 : x
  2. Step 2: Convert to fraction form
    299,328.78/413,063.37 = 178,407.81/x
  3. Step 3: Cross multiply
    299,328.78x = 413,063.37 × 178,407.81
  4. Step 4: Simplify right side
    299,328.78x = 73,693,731,232.92
  5. Step 5: Solve for x
    x = 73,693,731,232.92/299,328.78
  6. Step 6: Final answer
    x = 246,196.61

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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.