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Finding the Fourth Proportional to 299,943.50, 413,921.93 and 163,978.02

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Solution

The fourth proportional to 299,943.50, 413,921.93 and 163,978.02 is: 226,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,943.50 : 413,921.93 = 163,978.02 : x
  2. Step 2: Convert to fraction form
    299,943.50/413,921.93 = 163,978.02/x
  3. Step 3: Cross multiply
    299,943.50x = 413,921.93 × 163,978.02
  4. Step 4: Simplify right side
    299,943.50x = 67,874,096,446.37
  5. Step 5: Solve for x
    x = 67,874,096,446.37/299,943.50
  6. Step 6: Final answer
    x = 226,289.61

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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.