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Finding the Fourth Proportional to 300,826.70, 415,031 and 179,971.46

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Solution

The fourth proportional to 300,826.70, 415,031 and 179,971.46 is: 248,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,826.70 : 415,031 = 179,971.46 : x
  2. Step 2: Convert to fraction form
    300,826.70/415,031 = 179,971.46/x
  3. Step 3: Cross multiply
    300,826.70x = 415,031 × 179,971.46
  4. Step 4: Simplify right side
    300,826.70x = 74,693,735,015.26
  5. Step 5: Solve for x
    x = 74,693,735,015.26/300,826.70
  6. Step 6: Final answer
    x = 248,294.90

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1.5x scale

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.