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Finding the Fourth Proportional to 298,942.64, 448,279.01 and 85,661.77

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Solution

The fourth proportional to 298,942.64, 448,279.01 and 85,661.77 is: 128,453.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,942.64 : 448,279.01 = 85,661.77 : x
  2. Step 2: Convert to fraction form
    298,942.64/448,279.01 = 85,661.77/x
  3. Step 3: Cross multiply
    298,942.64x = 448,279.01 × 85,661.77
  4. Step 4: Simplify right side
    298,942.64x = 38,400,373,450.45
  5. Step 5: Solve for x
    x = 38,400,373,450.45/298,942.64
  6. Step 6: Final answer
    x = 128,453.99

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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.