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Finding the Fourth Proportional to 298,808.75, 412,344.06 and 162,839.80

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Solution

The fourth proportional to 298,808.75, 412,344.06 and 162,839.80 is: 224,712.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,808.75 : 412,344.06 = 162,839.80 : x
  2. Step 2: Convert to fraction form
    298,808.75/412,344.06 = 162,839.80/x
  3. Step 3: Cross multiply
    298,808.75x = 412,344.06 × 162,839.80
  4. Step 4: Simplify right side
    298,808.75x = 67,146,023,447.39
  5. Step 5: Solve for x
    x = 67,146,023,447.39/298,808.75
  6. Step 6: Final answer
    x = 224,712.37

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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.