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Finding the Fourth Proportional to 257,157.28, 354,800.28 and 166,369.46

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Solution

The fourth proportional to 257,157.28, 354,800.28 and 166,369.46 is: 229,540.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,157.28 : 354,800.28 = 166,369.46 : x
  2. Step 2: Convert to fraction form
    257,157.28/354,800.28 = 166,369.46/x
  3. Step 3: Cross multiply
    257,157.28x = 354,800.28 × 166,369.46
  4. Step 4: Simplify right side
    257,157.28x = 59,027,930,991.45
  5. Step 5: Solve for x
    x = 59,027,930,991.45/257,157.28
  6. Step 6: Final answer
    x = 229,540.19

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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.