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Finding the Fourth Proportional to 254,678, 382,017 and 79,574

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Solution

The fourth proportional to 254,678, 382,017 and 79,574 is: 119,361

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,678 : 382,017 = 79,574 : x
  2. Step 2: Convert to fraction form
    254,678/382,017 = 79,574/x
  3. Step 3: Cross multiply
    254,678x = 382,017 × 79,574
  4. Step 4: Simplify right side
    254,678x = 30,398,620,758
  5. Step 5: Solve for x
    x = 30,398,620,758/254,678
  6. Step 6: Final answer
    x = 119,361

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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.