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Finding the Fourth Proportional to 298,174.15, 411,483 and 162,211.06

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Solution

The fourth proportional to 298,174.15, 411,483 and 162,211.06 is: 223,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,174.15 : 411,483 = 162,211.06 : x
  2. Step 2: Convert to fraction form
    298,174.15/411,483 = 162,211.06/x
  3. Step 3: Cross multiply
    298,174.15x = 411,483 × 162,211.06
  4. Step 4: Simplify right side
    298,174.15x = 66,747,093,601.98
  5. Step 5: Solve for x
    x = 66,747,093,601.98/298,174.15
  6. Step 6: Final answer
    x = 223,852.72

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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.