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Finding the Fourth Proportional to 418,680.32, 628,022.30 and 134,414.06

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Solution

The fourth proportional to 418,680.32, 628,022.30 and 134,414.06 is: 201,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,680.32 : 628,022.30 = 134,414.06 : x
  2. Step 2: Convert to fraction form
    418,680.32/628,022.30 = 134,414.06/x
  3. Step 3: Cross multiply
    418,680.32x = 628,022.30 × 134,414.06
  4. Step 4: Simplify right side
    418,680.32x = 84,415,023,301.36
  5. Step 5: Solve for x
    x = 84,415,023,301.36/418,680.32
  6. Step 6: Final answer
    x = 201,621.67

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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.