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Finding the Fourth Proportional to 278,745.46, 418,093.58 and 101,254.02

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Solution

The fourth proportional to 278,745.46, 418,093.58 and 101,254.02 is: 151,872.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,745.46 : 418,093.58 = 101,254.02 : x
  2. Step 2: Convert to fraction form
    278,745.46/418,093.58 = 101,254.02/x
  3. Step 3: Cross multiply
    278,745.46x = 418,093.58 × 101,254.02
  4. Step 4: Simplify right side
    278,745.46x = 42,333,655,711.19
  5. Step 5: Solve for x
    x = 42,333,655,711.19/278,745.46
  6. Step 6: Final answer
    x = 151,872.09

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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.