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Finding the Fourth Proportional to 298,844.40, 412,405.20 and 164,708.40

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Solution

The fourth proportional to 298,844.40, 412,405.20 and 164,708.40 is: 227,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,844.40 : 412,405.20 = 164,708.40 : x
  2. Step 2: Convert to fraction form
    298,844.40/412,405.20 = 164,708.40/x
  3. Step 3: Cross multiply
    298,844.40x = 412,405.20 × 164,708.40
  4. Step 4: Simplify right side
    298,844.40x = 67,926,600,643.68
  5. Step 5: Solve for x
    x = 67,926,600,643.68/298,844.40
  6. Step 6: Final answer
    x = 227,297.55

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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.