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Finding the Fourth Proportional to 253,857.64, 380,743.44 and 118,935.76

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Solution

The fourth proportional to 253,857.64, 380,743.44 and 118,935.76 is: 178,383.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,857.64 : 380,743.44 = 118,935.76 : x
  2. Step 2: Convert to fraction form
    253,857.64/380,743.44 = 118,935.76/x
  3. Step 3: Cross multiply
    253,857.64x = 380,743.44 × 118,935.76
  4. Step 4: Simplify right side
    253,857.64x = 45,284,010,401.41
  5. Step 5: Solve for x
    x = 45,284,010,401.41/253,857.64
  6. Step 6: Final answer
    x = 178,383.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.