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Finding the Fourth Proportional to 646,682.40, 969,601.14 and 309,712.14

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Solution

The fourth proportional to 646,682.40, 969,601.14 and 309,712.14 is: 464,365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,682.40 : 969,601.14 = 309,712.14 : x
  2. Step 2: Convert to fraction form
    646,682.40/969,601.14 = 309,712.14/x
  3. Step 3: Cross multiply
    646,682.40x = 969,601.14 × 309,712.14
  4. Step 4: Simplify right side
    646,682.40x = 300,297,244,015.84
  5. Step 5: Solve for x
    x = 300,297,244,015.84/646,682.40
  6. Step 6: Final answer
    x = 464,365.88

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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.