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Finding the Fourth Proportional to 855,900, 1,283,848.56 and 256,860

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Solution

The fourth proportional to 855,900, 1,283,848.56 and 256,860 is: 385,289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,900 : 1,283,848.56 = 256,860 : x
  2. Step 2: Convert to fraction form
    855,900/1,283,848.56 = 256,860/x
  3. Step 3: Cross multiply
    855,900x = 1,283,848.56 × 256,860
  4. Step 4: Simplify right side
    855,900x = 329,769,341,121.60
  5. Step 5: Solve for x
    x = 329,769,341,121.60/855,900
  6. Step 6: Final answer
    x = 385,289.57

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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.