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Finding the Fourth Proportional to 422,992, 583,728.96 and 234,576

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Solution

The fourth proportional to 422,992, 583,728.96 and 234,576 is: 323,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,992 : 583,728.96 = 234,576 : x
  2. Step 2: Convert to fraction form
    422,992/583,728.96 = 234,576/x
  3. Step 3: Cross multiply
    422,992x = 583,728.96 × 234,576
  4. Step 4: Simplify right side
    422,992x = 136,928,804,520.96
  5. Step 5: Solve for x
    x = 136,928,804,520.96/422,992
  6. Step 6: Final answer
    x = 323,714.88

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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.