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Finding the Fourth Proportional to 281,699.76, 388,745.66 and 154,378.28

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Solution

The fourth proportional to 281,699.76, 388,745.66 and 154,378.28 is: 213,042.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,699.76 : 388,745.66 = 154,378.28 : x
  2. Step 2: Convert to fraction form
    281,699.76/388,745.66 = 154,378.28/x
  3. Step 3: Cross multiply
    281,699.76x = 388,745.66 × 154,378.28
  4. Step 4: Simplify right side
    281,699.76x = 60,013,886,348.26
  5. Step 5: Solve for x
    x = 60,013,886,348.26/281,699.76
  6. Step 6: Final answer
    x = 213,042.02

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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.