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Finding the Fourth Proportional to 282,758.94, 389,918.04 and 187,230.78

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Solution

The fourth proportional to 282,758.94, 389,918.04 and 187,230.78 is: 258,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,758.94 : 389,918.04 = 187,230.78 : x
  2. Step 2: Convert to fraction form
    282,758.94/389,918.04 = 187,230.78/x
  3. Step 3: Cross multiply
    282,758.94x = 389,918.04 × 187,230.78
  4. Step 4: Simplify right side
    282,758.94x = 73,004,658,765.27
  5. Step 5: Solve for x
    x = 73,004,658,765.27/282,758.94
  6. Step 6: Final answer
    x = 258,186.92

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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.