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Finding the Fourth Proportional to 298,853.96, 412,406.44 and 162,885

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Solution

The fourth proportional to 298,853.96, 412,406.44 and 162,885 is: 224,774.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,853.96 : 412,406.44 = 162,885 : x
  2. Step 2: Convert to fraction form
    298,853.96/412,406.44 = 162,885/x
  3. Step 3: Cross multiply
    298,853.96x = 412,406.44 × 162,885
  4. Step 4: Simplify right side
    298,853.96x = 67,174,822,979.40
  5. Step 5: Solve for x
    x = 67,174,822,979.40/298,853.96
  6. Step 6: Final answer
    x = 224,774.75

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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.