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Finding the Fourth Proportional to 281,701.76, 388,748.42 and 154,380.28

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Solution

The fourth proportional to 281,701.76, 388,748.42 and 154,380.28 is: 213,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,701.76 : 388,748.42 = 154,380.28 : x
  2. Step 2: Convert to fraction form
    281,701.76/388,748.42 = 154,380.28/x
  3. Step 3: Cross multiply
    281,701.76x = 388,748.42 × 154,380.28
  4. Step 4: Simplify right side
    281,701.76x = 60,015,089,929.16
  5. Step 5: Solve for x
    x = 60,015,089,929.16/281,701.76
  6. Step 6: Final answer
    x = 213,044.78

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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.