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Finding the Fourth Proportional to 281,755.78, 388,822.17 and 154,430.98

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Solution

The fourth proportional to 281,755.78, 388,822.17 and 154,430.98 is: 213,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,755.78 : 388,822.17 = 154,430.98 : x
  2. Step 2: Convert to fraction form
    281,755.78/388,822.17 = 154,430.98/x
  3. Step 3: Cross multiply
    281,755.78x = 388,822.17 × 154,430.98
  4. Step 4: Simplify right side
    281,755.78x = 60,046,188,758.83
  5. Step 5: Solve for x
    x = 60,046,188,758.83/281,755.78
  6. Step 6: Final answer
    x = 213,114.31

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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.