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Finding the Fourth Proportional to 278,575.58, 418,029.36 and 101,096.42

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Solution

The fourth proportional to 278,575.58, 418,029.36 and 101,096.42 is: 151,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,575.58 : 418,029.36 = 101,096.42 : x
  2. Step 2: Convert to fraction form
    278,575.58/418,029.36 = 101,096.42/x
  3. Step 3: Cross multiply
    278,575.58x = 418,029.36 × 101,096.42
  4. Step 4: Simplify right side
    278,575.58x = 42,261,271,750.89
  5. Step 5: Solve for x
    x = 42,261,271,750.89/278,575.58
  6. Step 6: Final answer
    x = 151,704.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.