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Finding the Fourth Proportional to 282,751.44, 389,907.72 and 187,223.28

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Solution

The fourth proportional to 282,751.44, 389,907.72 and 187,223.28 is: 258,176.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,751.44 : 389,907.72 = 187,223.28 : x
  2. Step 2: Convert to fraction form
    282,751.44/389,907.72 = 187,223.28/x
  3. Step 3: Cross multiply
    282,751.44x = 389,907.72 × 187,223.28
  4. Step 4: Simplify right side
    282,751.44x = 72,999,802,235.72
  5. Step 5: Solve for x
    x = 72,999,802,235.72/282,751.44
  6. Step 6: Final answer
    x = 258,176.59

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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.