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Finding the Fourth Proportional to 298,398.11, 411,794.64 and 162,435.96

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Solution

The fourth proportional to 298,398.11, 411,794.64 and 162,435.96 is: 224,164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,398.11 : 411,794.64 = 162,435.96 : x
  2. Step 2: Convert to fraction form
    298,398.11/411,794.64 = 162,435.96/x
  3. Step 3: Cross multiply
    298,398.11x = 411,794.64 × 162,435.96
  4. Step 4: Simplify right side
    298,398.11x = 66,890,257,671.25
  5. Step 5: Solve for x
    x = 66,890,257,671.25/298,398.11
  6. Step 6: Final answer
    x = 224,164.49

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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.