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Finding the Fourth Proportional to 281,544, 388,525.92 and 154,219.20

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Solution

The fourth proportional to 281,544, 388,525.92 and 154,219.20 is: 212,819.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,544 : 388,525.92 = 154,219.20 : x
  2. Step 2: Convert to fraction form
    281,544/388,525.92 = 154,219.20/x
  3. Step 3: Cross multiply
    281,544x = 388,525.92 × 154,219.20
  4. Step 4: Simplify right side
    281,544x = 59,918,156,561.66
  5. Step 5: Solve for x
    x = 59,918,156,561.66/281,544
  6. Step 6: Final answer
    x = 212,819.87

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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.