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Finding the Fourth Proportional to 491,599.83, 678,381.96 and 276,732.75

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Solution

The fourth proportional to 491,599.83, 678,381.96 and 276,732.75 is: 381,876.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,599.83 : 678,381.96 = 276,732.75 : x
  2. Step 2: Convert to fraction form
    491,599.83/678,381.96 = 276,732.75/x
  3. Step 3: Cross multiply
    491,599.83x = 678,381.96 × 276,732.75
  4. Step 4: Simplify right side
    491,599.83x = 187,730,505,341.19
  5. Step 5: Solve for x
    x = 187,730,505,341.19/491,599.83
  6. Step 6: Final answer
    x = 381,876.67

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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.