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Finding the Fourth Proportional to 298,196.36, 411,511.96 and 162,230.28

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Solution

The fourth proportional to 298,196.36, 411,511.96 and 162,230.28 is: 223,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,196.36 : 411,511.96 = 162,230.28 : x
  2. Step 2: Convert to fraction form
    298,196.36/411,511.96 = 162,230.28/x
  3. Step 3: Cross multiply
    298,196.36x = 411,511.96 × 162,230.28
  4. Step 4: Simplify right side
    298,196.36x = 66,759,700,494.15
  5. Step 5: Solve for x
    x = 66,759,700,494.15/298,196.36
  6. Step 6: Final answer
    x = 223,878.32

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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.