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Finding the Fourth Proportional to 297,929.21, 411,141.42 and 161,963.01

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Solution

The fourth proportional to 297,929.21, 411,141.42 and 161,963.01 is: 223,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,929.21 : 411,141.42 = 161,963.01 : x
  2. Step 2: Convert to fraction form
    297,929.21/411,141.42 = 161,963.01/x
  3. Step 3: Cross multiply
    297,929.21x = 411,141.42 × 161,963.01
  4. Step 4: Simplify right side
    297,929.21x = 66,589,701,918.87
  5. Step 5: Solve for x
    x = 66,589,701,918.87/297,929.21
  6. Step 6: Final answer
    x = 223,508.47

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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.