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Finding the Fourth Proportional to 298,986.58, 448,481.49 and 77,370.58

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Solution

The fourth proportional to 298,986.58, 448,481.49 and 77,370.58 is: 116,056.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,986.58 : 448,481.49 = 77,370.58 : x
  2. Step 2: Convert to fraction form
    298,986.58/448,481.49 = 77,370.58/x
  3. Step 3: Cross multiply
    298,986.58x = 448,481.49 × 77,370.58
  4. Step 4: Simplify right side
    298,986.58x = 34,699,273,000.56
  5. Step 5: Solve for x
    x = 34,699,273,000.56/298,986.58
  6. Step 6: Final answer
    x = 116,056.29

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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.