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Finding the Fourth Proportional to 257,054.39, 354,684.64 and 161,505.72

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Solution

The fourth proportional to 257,054.39, 354,684.64 and 161,505.72 is: 222,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,054.39 : 354,684.64 = 161,505.72 : x
  2. Step 2: Convert to fraction form
    257,054.39/354,684.64 = 161,505.72/x
  3. Step 3: Cross multiply
    257,054.39x = 354,684.64 × 161,505.72
  4. Step 4: Simplify right side
    257,054.39x = 57,283,597,348.61
  5. Step 5: Solve for x
    x = 57,283,597,348.61/257,054.39
  6. Step 6: Final answer
    x = 222,846.22

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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.