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Finding the Fourth Proportional to 311,749.64, 467,687.79 and 98,550.86

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Solution

The fourth proportional to 311,749.64, 467,687.79 and 98,550.86 is: 147,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,749.64 : 467,687.79 = 98,550.86 : x
  2. Step 2: Convert to fraction form
    311,749.64/467,687.79 = 98,550.86/x
  3. Step 3: Cross multiply
    311,749.64x = 467,687.79 × 98,550.86
  4. Step 4: Simplify right side
    311,749.64x = 46,091,031,577.56
  5. Step 5: Solve for x
    x = 46,091,031,577.56/311,749.64
  6. Step 6: Final answer
    x = 147,846.30

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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.