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Finding the Fourth Proportional to 414,310.90, 621,794.40 and 161,712.40

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Solution

The fourth proportional to 414,310.90, 621,794.40 and 161,712.40 is: 242,696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,310.90 : 621,794.40 = 161,712.40 : x
  2. Step 2: Convert to fraction form
    414,310.90/621,794.40 = 161,712.40/x
  3. Step 3: Cross multiply
    414,310.90x = 621,794.40 × 161,712.40
  4. Step 4: Simplify right side
    414,310.90x = 100,551,864,730.56
  5. Step 5: Solve for x
    x = 100,551,864,730.56/414,310.90
  6. Step 6: Final answer
    x = 242,696.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.