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Finding the Fourth Proportional to 298,859.78, 412,426.80 and 162,893.85

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Solution

The fourth proportional to 298,859.78, 412,426.80 and 162,893.85 is: 224,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,859.78 : 412,426.80 = 162,893.85 : x
  2. Step 2: Convert to fraction form
    298,859.78/412,426.80 = 162,893.85/x
  3. Step 3: Cross multiply
    298,859.78x = 412,426.80 × 162,893.85
  4. Step 4: Simplify right side
    298,859.78x = 67,181,789,295.18
  5. Step 5: Solve for x
    x = 67,181,789,295.18/298,859.78
  6. Step 6: Final answer
    x = 224,793.68

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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.