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Finding the Fourth Proportional to 491,356.08, 678,016.44 and 276,570

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Solution

The fourth proportional to 491,356.08, 678,016.44 and 276,570 is: 381,635.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,356.08 : 678,016.44 = 276,570 : x
  2. Step 2: Convert to fraction form
    491,356.08/678,016.44 = 276,570/x
  3. Step 3: Cross multiply
    491,356.08x = 678,016.44 × 276,570
  4. Step 4: Simplify right side
    491,356.08x = 187,519,006,810.80
  5. Step 5: Solve for x
    x = 187,519,006,810.80/491,356.08
  6. Step 6: Final answer
    x = 381,635.67

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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.