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Finding the Fourth Proportional to 304,189.75, 419,785.50 and 168,234.90

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Solution

The fourth proportional to 304,189.75, 419,785.50 and 168,234.90 is: 232,166.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,189.75 : 419,785.50 = 168,234.90 : x
  2. Step 2: Convert to fraction form
    304,189.75/419,785.50 = 168,234.90/x
  3. Step 3: Cross multiply
    304,189.75x = 419,785.50 × 168,234.90
  4. Step 4: Simplify right side
    304,189.75x = 70,622,571,613.95
  5. Step 5: Solve for x
    x = 70,622,571,613.95/304,189.75
  6. Step 6: Final answer
    x = 232,166.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.