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Finding the Fourth Proportional to 298,033.66, 411,288.38 and 162,069.09

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Solution

The fourth proportional to 298,033.66, 411,288.38 and 162,069.09 is: 223,656.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,033.66 : 411,288.38 = 162,069.09 : x
  2. Step 2: Convert to fraction form
    298,033.66/411,288.38 = 162,069.09/x
  3. Step 3: Cross multiply
    298,033.66x = 411,288.38 × 162,069.09
  4. Step 4: Simplify right side
    298,033.66x = 66,657,132,640.90
  5. Step 5: Solve for x
    x = 66,657,132,640.90/298,033.66
  6. Step 6: Final answer
    x = 223,656.39

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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.