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Finding the Fourth Proportional to 299,002.37, 412,608.09 and 163,035.21

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Solution

The fourth proportional to 299,002.37, 412,608.09 and 163,035.21 is: 224,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,002.37 : 412,608.09 = 163,035.21 : x
  2. Step 2: Convert to fraction form
    299,002.37/412,608.09 = 163,035.21/x
  3. Step 3: Cross multiply
    299,002.37x = 412,608.09 × 163,035.21
  4. Step 4: Simplify right side
    299,002.37x = 67,269,646,600.85
  5. Step 5: Solve for x
    x = 67,269,646,600.85/299,002.37
  6. Step 6: Final answer
    x = 224,980.32

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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.