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Finding the Fourth Proportional to 297,090.72, 409,985.42 and 161,124.64

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Solution

The fourth proportional to 297,090.72, 409,985.42 and 161,124.64 is: 222,352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,090.72 : 409,985.42 = 161,124.64 : x
  2. Step 2: Convert to fraction form
    297,090.72/409,985.42 = 161,124.64/x
  3. Step 3: Cross multiply
    297,090.72x = 409,985.42 × 161,124.64
  4. Step 4: Simplify right side
    297,090.72x = 66,058,751,372.16
  5. Step 5: Solve for x
    x = 66,058,751,372.16/297,090.72
  6. Step 6: Final answer
    x = 222,352.12

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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.