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Finding the Fourth Proportional to 299,820.81, 413,803.91 and 178,968.33

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Solution

The fourth proportional to 299,820.81, 413,803.91 and 178,968.33 is: 247,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,820.81 : 413,803.91 = 178,968.33 : x
  2. Step 2: Convert to fraction form
    299,820.81/413,803.91 = 178,968.33/x
  3. Step 3: Cross multiply
    299,820.81x = 413,803.91 × 178,968.33
  4. Step 4: Simplify right side
    299,820.81x = 74,057,793,825.33
  5. Step 5: Solve for x
    x = 74,057,793,825.33/299,820.81
  6. Step 6: Final answer
    x = 247,006.85

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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.