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Finding the Fourth Proportional to 282,754.94, 389,912.54 and 187,226.78

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Solution

The fourth proportional to 282,754.94, 389,912.54 and 187,226.78 is: 258,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,754.94 : 389,912.54 = 187,226.78 : x
  2. Step 2: Convert to fraction form
    282,754.94/389,912.54 = 187,226.78/x
  3. Step 3: Cross multiply
    282,754.94x = 389,912.54 × 187,226.78
  4. Step 4: Simplify right side
    282,754.94x = 73,002,069,345.82
  5. Step 5: Solve for x
    x = 73,002,069,345.82/282,754.94
  6. Step 6: Final answer
    x = 258,181.41

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1.5x scale

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.