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Finding the Fourth Proportional to 303,739.38, 419,158.80 and 167,782.86

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Solution

The fourth proportional to 303,739.38, 419,158.80 and 167,782.86 is: 231,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,739.38 : 419,158.80 = 167,782.86 : x
  2. Step 2: Convert to fraction form
    303,739.38/419,158.80 = 167,782.86/x
  3. Step 3: Cross multiply
    303,739.38x = 419,158.80 × 167,782.86
  4. Step 4: Simplify right side
    303,739.38x = 70,327,662,258.17
  5. Step 5: Solve for x
    x = 70,327,662,258.17/303,739.38
  6. Step 6: Final answer
    x = 231,539.49

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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.