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Finding the Fourth Proportional to 298,857.96, 448,393.50 and 149,085

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Solution

The fourth proportional to 298,857.96, 448,393.50 and 149,085 is: 223,680.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,857.96 : 448,393.50 = 149,085 : x
  2. Step 2: Convert to fraction form
    298,857.96/448,393.50 = 149,085/x
  3. Step 3: Cross multiply
    298,857.96x = 448,393.50 × 149,085
  4. Step 4: Simplify right side
    298,857.96x = 66,848,744,947.50
  5. Step 5: Solve for x
    x = 66,848,744,947.50/298,857.96
  6. Step 6: Final answer
    x = 223,680.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.