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Finding the Fourth Proportional to 298,094.50, 411,371.49 and 162,128.44

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Solution

The fourth proportional to 298,094.50, 411,371.49 and 162,128.44 is: 223,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,094.50 : 411,371.49 = 162,128.44 : x
  2. Step 2: Convert to fraction form
    298,094.50/411,371.49 = 162,128.44/x
  3. Step 3: Cross multiply
    298,094.50x = 411,371.49 × 162,128.44
  4. Step 4: Simplify right side
    298,094.50x = 66,695,017,934.18
  5. Step 5: Solve for x
    x = 66,695,017,934.18/298,094.50
  6. Step 6: Final answer
    x = 223,737.83

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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.