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Finding the Fourth Proportional to 298,917, 412,484.81 and 168,114.24

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Solution

The fourth proportional to 298,917, 412,484.81 and 168,114.24 is: 231,986.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,917 : 412,484.81 = 168,114.24 : x
  2. Step 2: Convert to fraction form
    298,917/412,484.81 = 168,114.24/x
  3. Step 3: Cross multiply
    298,917x = 412,484.81 × 168,114.24
  4. Step 4: Simplify right side
    298,917x = 69,344,569,504.12
  5. Step 5: Solve for x
    x = 69,344,569,504.12/298,917
  6. Step 6: Final answer
    x = 231,986.03

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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.