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Finding the Fourth Proportional to 398,183.94, 549,474.42 and 226,079.34

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Solution

The fourth proportional to 398,183.94, 549,474.42 and 226,079.34 is: 311,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,183.94 : 549,474.42 = 226,079.34 : x
  2. Step 2: Convert to fraction form
    398,183.94/549,474.42 = 226,079.34/x
  3. Step 3: Cross multiply
    398,183.94x = 549,474.42 × 226,079.34
  4. Step 4: Simplify right side
    398,183.94x = 124,224,814,220.48
  5. Step 5: Solve for x
    x = 124,224,814,220.48/398,183.94
  6. Step 6: Final answer
    x = 311,978.46

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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.