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Finding the Fourth Proportional to 299,112, 412,783.20 and 164,984.64

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Solution

The fourth proportional to 299,112, 412,783.20 and 164,984.64 is: 227,683.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,112 : 412,783.20 = 164,984.64 : x
  2. Step 2: Convert to fraction form
    299,112/412,783.20 = 164,984.64/x
  3. Step 3: Cross multiply
    299,112x = 412,783.20 × 164,984.64
  4. Step 4: Simplify right side
    299,112x = 68,102,887,650.05
  5. Step 5: Solve for x
    x = 68,102,887,650.05/299,112
  6. Step 6: Final answer
    x = 227,683.57

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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.