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Finding the Fourth Proportional to 255,219.40, 382,401.42 and 180,215.02

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Solution

The fourth proportional to 255,219.40, 382,401.42 and 180,215.02 is: 270,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,219.40 : 382,401.42 = 180,215.02 : x
  2. Step 2: Convert to fraction form
    255,219.40/382,401.42 = 180,215.02/x
  3. Step 3: Cross multiply
    255,219.40x = 382,401.42 × 180,215.02
  4. Step 4: Simplify right side
    255,219.40x = 68,914,479,553.33
  5. Step 5: Solve for x
    x = 68,914,479,553.33/255,219.40
  6. Step 6: Final answer
    x = 270,020.54

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1.5x scale

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.