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Finding the Fourth Proportional to 254,856, 382,330.11 and 105,012.96

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Solution

The fourth proportional to 254,856, 382,330.11 and 105,012.96 is: 157,538.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,856 : 382,330.11 = 105,012.96 : x
  2. Step 2: Convert to fraction form
    254,856/382,330.11 = 105,012.96/x
  3. Step 3: Cross multiply
    254,856x = 382,330.11 × 105,012.96
  4. Step 4: Simplify right side
    254,856x = 40,149,616,548.23
  5. Step 5: Solve for x
    x = 40,149,616,548.23/254,856
  6. Step 6: Final answer
    x = 157,538.44

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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.