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Finding the Fourth Proportional to 254,892.75, 382,314.42 and 77,401.32

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Solution

The fourth proportional to 254,892.75, 382,314.42 and 77,401.32 is: 116,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,892.75 : 382,314.42 = 77,401.32 : x
  2. Step 2: Convert to fraction form
    254,892.75/382,314.42 = 77,401.32/x
  3. Step 3: Cross multiply
    254,892.75x = 382,314.42 × 77,401.32
  4. Step 4: Simplify right side
    254,892.75x = 29,591,640,763.03
  5. Step 5: Solve for x
    x = 29,591,640,763.03/254,892.75
  6. Step 6: Final answer
    x = 116,094.48

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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.