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Finding the Fourth Proportional to 254,949, 382,431.60 and 77,457.56

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Solution

The fourth proportional to 254,949, 382,431.60 and 77,457.56 is: 116,188.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,949 : 382,431.60 = 77,457.56 : x
  2. Step 2: Convert to fraction form
    254,949/382,431.60 = 77,457.56/x
  3. Step 3: Cross multiply
    254,949x = 382,431.60 × 77,457.56
  4. Step 4: Simplify right side
    254,949x = 29,622,216,690.74
  5. Step 5: Solve for x
    x = 29,622,216,690.74/254,949
  6. Step 6: Final answer
    x = 116,188.79

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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.