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Finding the Fourth Proportional to 301,257.56, 415,721.40 and 165,288.44

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Solution

The fourth proportional to 301,257.56, 415,721.40 and 165,288.44 is: 228,090.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,257.56 : 415,721.40 = 165,288.44 : x
  2. Step 2: Convert to fraction form
    301,257.56/415,721.40 = 165,288.44/x
  3. Step 3: Cross multiply
    301,257.56x = 415,721.40 × 165,288.44
  4. Step 4: Simplify right side
    301,257.56x = 68,713,941,680.62
  5. Step 5: Solve for x
    x = 68,713,941,680.62/301,257.56
  6. Step 6: Final answer
    x = 228,090.35

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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.