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Finding the Fourth Proportional to 295,576.88, 407,893.56 and 161,438

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Solution

The fourth proportional to 295,576.88, 407,893.56 and 161,438 is: 222,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,576.88 : 407,893.56 = 161,438 : x
  2. Step 2: Convert to fraction form
    295,576.88/407,893.56 = 161,438/x
  3. Step 3: Cross multiply
    295,576.88x = 407,893.56 × 161,438
  4. Step 4: Simplify right side
    295,576.88x = 65,849,520,539.28
  5. Step 5: Solve for x
    x = 65,849,520,539.28/295,576.88
  6. Step 6: Final answer
    x = 222,783.06

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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.