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Finding the Fourth Proportional to 254,457.28, 351,162 and 141,280

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Solution

The fourth proportional to 254,457.28, 351,162 and 141,280 is: 194,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,457.28 : 351,162 = 141,280 : x
  2. Step 2: Convert to fraction form
    254,457.28/351,162 = 141,280/x
  3. Step 3: Cross multiply
    254,457.28x = 351,162 × 141,280
  4. Step 4: Simplify right side
    254,457.28x = 49,612,167,360
  5. Step 5: Solve for x
    x = 49,612,167,360/254,457.28
  6. Step 6: Final answer
    x = 194,972.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.