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Finding the Fourth Proportional to 254,858.54, 382,279.11 and 65,320.77

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Solution

The fourth proportional to 254,858.54, 382,279.11 and 65,320.77 is: 97,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,858.54 : 382,279.11 = 65,320.77 : x
  2. Step 2: Convert to fraction form
    254,858.54/382,279.11 = 65,320.77/x
  3. Step 3: Cross multiply
    254,858.54x = 382,279.11 × 65,320.77
  4. Step 4: Simplify right side
    254,858.54x = 24,970,765,820.11
  5. Step 5: Solve for x
    x = 24,970,765,820.11/254,858.54
  6. Step 6: Final answer
    x = 97,978.93

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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.