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Finding the Fourth Proportional to 276,556, 414,834 and 79,564

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Solution

The fourth proportional to 276,556, 414,834 and 79,564 is: 119,346

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,556 : 414,834 = 79,564 : x
  2. Step 2: Convert to fraction form
    276,556/414,834 = 79,564/x
  3. Step 3: Cross multiply
    276,556x = 414,834 × 79,564
  4. Step 4: Simplify right side
    276,556x = 33,005,852,376
  5. Step 5: Solve for x
    x = 33,005,852,376/276,556
  6. Step 6: Final answer
    x = 119,346

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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.