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Finding the Fourth Proportional to 298,778.31, 412,308.81 and 162,813.24

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Solution

The fourth proportional to 298,778.31, 412,308.81 and 162,813.24 is: 224,679.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,778.31 : 412,308.81 = 162,813.24 : x
  2. Step 2: Convert to fraction form
    298,778.31/412,308.81 = 162,813.24/x
  3. Step 3: Cross multiply
    298,778.31x = 412,308.81 × 162,813.24
  4. Step 4: Simplify right side
    298,778.31x = 67,129,333,236.64
  5. Step 5: Solve for x
    x = 67,129,333,236.64/298,778.31
  6. Step 6: Final answer
    x = 224,679.41

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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.