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Finding the Fourth Proportional to 300,607.16, 413,893.68 and 255,191

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Solution

The fourth proportional to 300,607.16, 413,893.68 and 255,191 is: 351,362.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,607.16 : 413,893.68 = 255,191 : x
  2. Step 2: Convert to fraction form
    300,607.16/413,893.68 = 255,191/x
  3. Step 3: Cross multiply
    300,607.16x = 413,893.68 × 255,191
  4. Step 4: Simplify right side
    300,607.16x = 105,621,942,092.88
  5. Step 5: Solve for x
    x = 105,621,942,092.88/300,607.16
  6. Step 6: Final answer
    x = 351,362.03

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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.