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Finding the Fourth Proportional to 301,021.75, 415,474.82 and 180,190

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Solution

The fourth proportional to 301,021.75, 415,474.82 and 180,190 is: 248,700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,021.75 : 415,474.82 = 180,190 : x
  2. Step 2: Convert to fraction form
    301,021.75/415,474.82 = 180,190/x
  3. Step 3: Cross multiply
    301,021.75x = 415,474.82 × 180,190
  4. Step 4: Simplify right side
    301,021.75x = 74,864,407,815.80
  5. Step 5: Solve for x
    x = 74,864,407,815.80/301,021.75
  6. Step 6: Final answer
    x = 248,700.99

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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.