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Finding the Fourth Proportional to 491,919.76, 678,870.26 and 274,128.67

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Solution

The fourth proportional to 491,919.76, 678,870.26 and 274,128.67 is: 378,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,919.76 : 678,870.26 = 274,128.67 : x
  2. Step 2: Convert to fraction form
    491,919.76/678,870.26 = 274,128.67/x
  3. Step 3: Cross multiply
    491,919.76x = 678,870.26 × 274,128.67
  4. Step 4: Simplify right side
    491,919.76x = 186,097,801,476.35
  5. Step 5: Solve for x
    x = 186,097,801,476.35/491,919.76
  6. Step 6: Final answer
    x = 378,309.26

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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.