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Finding the Fourth Proportional to 254,934.24, 382,401.24 and 77,440.56

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Solution

The fourth proportional to 254,934.24, 382,401.24 and 77,440.56 is: 116,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,934.24 : 382,401.24 = 77,440.56 : x
  2. Step 2: Convert to fraction form
    254,934.24/382,401.24 = 77,440.56/x
  3. Step 3: Cross multiply
    254,934.24x = 382,401.24 × 77,440.56
  4. Step 4: Simplify right side
    254,934.24x = 29,613,366,170.29
  5. Step 5: Solve for x
    x = 29,613,366,170.29/254,934.24
  6. Step 6: Final answer
    x = 116,160.80

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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.