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Finding the Fourth Proportional to 547,907.94, 756,142.83 and 306,190.98

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Solution

The fourth proportional to 547,907.94, 756,142.83 and 306,190.98 is: 422,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,907.94 : 756,142.83 = 306,190.98 : x
  2. Step 2: Convert to fraction form
    547,907.94/756,142.83 = 306,190.98/x
  3. Step 3: Cross multiply
    547,907.94x = 756,142.83 × 306,190.98
  4. Step 4: Simplify right side
    547,907.94x = 231,524,114,137.67
  5. Step 5: Solve for x
    x = 231,524,114,137.67/547,907.94
  6. Step 6: Final answer
    x = 422,560.25

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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.