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Finding the Fourth Proportional to 494,769, 682,774.74 and 268,422.60

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Solution

The fourth proportional to 494,769, 682,774.74 and 268,422.60 is: 370,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,769 : 682,774.74 = 268,422.60 : x
  2. Step 2: Convert to fraction form
    494,769/682,774.74 = 268,422.60/x
  3. Step 3: Cross multiply
    494,769x = 682,774.74 × 268,422.60
  4. Step 4: Simplify right side
    494,769x = 183,272,170,925.12
  5. Step 5: Solve for x
    x = 183,272,170,925.12/494,769
  6. Step 6: Final answer
    x = 370,419.67

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1.5x scale

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.