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Finding the Fourth Proportional to 419,951.64, 579,351.06 and 266,907.96

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Solution

The fourth proportional to 419,951.64, 579,351.06 and 266,907.96 is: 368,217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,951.64 : 579,351.06 = 266,907.96 : x
  2. Step 2: Convert to fraction form
    419,951.64/579,351.06 = 266,907.96/x
  3. Step 3: Cross multiply
    419,951.64x = 579,351.06 × 266,907.96
  4. Step 4: Simplify right side
    419,951.64x = 154,633,409,548.44
  5. Step 5: Solve for x
    x = 154,633,409,548.44/419,951.64
  6. Step 6: Final answer
    x = 368,217.18

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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.