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Finding the Fourth Proportional to 277,251.39, 413,907.64 and 267,409.89

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Solution

The fourth proportional to 277,251.39, 413,907.64 and 267,409.89 is: 399,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,251.39 : 413,907.64 = 267,409.89 : x
  2. Step 2: Convert to fraction form
    277,251.39/413,907.64 = 267,409.89/x
  3. Step 3: Cross multiply
    277,251.39x = 413,907.64 × 267,409.89
  4. Step 4: Simplify right side
    277,251.39x = 110,682,995,814.04
  5. Step 5: Solve for x
    x = 110,682,995,814.04/277,251.39
  6. Step 6: Final answer
    x = 399,215.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.