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Finding the Fourth Proportional to 254,926, 382,389 and 121,401.46

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Solution

The fourth proportional to 254,926, 382,389 and 121,401.46 is: 182,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,926 : 382,389 = 121,401.46 : x
  2. Step 2: Convert to fraction form
    254,926/382,389 = 121,401.46/x
  3. Step 3: Cross multiply
    254,926x = 382,389 × 121,401.46
  4. Step 4: Simplify right side
    254,926x = 46,422,582,887.94
  5. Step 5: Solve for x
    x = 46,422,582,887.94/254,926
  6. Step 6: Final answer
    x = 182,102.19

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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.