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Finding the Fourth Proportional to 254,676, 382,014 and 79,572

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Solution

The fourth proportional to 254,676, 382,014 and 79,572 is: 119,358

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,676 : 382,014 = 79,572 : x
  2. Step 2: Convert to fraction form
    254,676/382,014 = 79,572/x
  3. Step 3: Cross multiply
    254,676x = 382,014 × 79,572
  4. Step 4: Simplify right side
    254,676x = 30,397,618,008
  5. Step 5: Solve for x
    x = 30,397,618,008/254,676
  6. Step 6: Final answer
    x = 119,358

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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.