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Finding the Fourth Proportional to 278,662.44, 384,554.16 and 151,338

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Solution

The fourth proportional to 278,662.44, 384,554.16 and 151,338 is: 208,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,662.44 : 384,554.16 = 151,338 : x
  2. Step 2: Convert to fraction form
    278,662.44/384,554.16 = 151,338/x
  3. Step 3: Cross multiply
    278,662.44x = 384,554.16 × 151,338
  4. Step 4: Simplify right side
    278,662.44x = 58,197,657,466.08
  5. Step 5: Solve for x
    x = 58,197,657,466.08/278,662.44
  6. Step 6: Final answer
    x = 208,846.44

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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.