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Finding the Fourth Proportional to 409,141.56, 613,734.21 and 128,680.68

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Solution

The fourth proportional to 409,141.56, 613,734.21 and 128,680.68 is: 193,027.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,141.56 : 613,734.21 = 128,680.68 : x
  2. Step 2: Convert to fraction form
    409,141.56/613,734.21 = 128,680.68/x
  3. Step 3: Cross multiply
    409,141.56x = 613,734.21 × 128,680.68
  4. Step 4: Simplify right side
    409,141.56x = 78,975,735,482.06
  5. Step 5: Solve for x
    x = 78,975,735,482.06/409,141.56
  6. Step 6: Final answer
    x = 193,027.90

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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.