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Finding the Fourth Proportional to 298,196.61, 411,512.30 and 162,230.54

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Solution

The fourth proportional to 298,196.61, 411,512.30 and 162,230.54 is: 223,878.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,196.61 : 411,512.30 = 162,230.54 : x
  2. Step 2: Convert to fraction form
    298,196.61/411,512.30 = 162,230.54/x
  3. Step 3: Cross multiply
    298,196.61x = 411,512.30 × 162,230.54
  4. Step 4: Simplify right side
    298,196.61x = 66,759,859,776.93
  5. Step 5: Solve for x
    x = 66,759,859,776.93/298,196.61
  6. Step 6: Final answer
    x = 223,878.67

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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.