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Finding the Fourth Proportional to 298,155.88, 447,311.58 and 111,169

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Solution

The fourth proportional to 298,155.88, 447,311.58 and 111,169 is: 166,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,155.88 : 447,311.58 = 111,169 : x
  2. Step 2: Convert to fraction form
    298,155.88/447,311.58 = 111,169/x
  3. Step 3: Cross multiply
    298,155.88x = 447,311.58 × 111,169
  4. Step 4: Simplify right side
    298,155.88x = 49,727,181,037.02
  5. Step 5: Solve for x
    x = 49,727,181,037.02/298,155.88
  6. Step 6: Final answer
    x = 166,782.49

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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.