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Finding the Fourth Proportional to 255,272.76, 382,909 and 68,279.40

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Solution

The fourth proportional to 255,272.76, 382,909 and 68,279.40 is: 102,419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,272.76 : 382,909 = 68,279.40 : x
  2. Step 2: Convert to fraction form
    255,272.76/382,909 = 68,279.40/x
  3. Step 3: Cross multiply
    255,272.76x = 382,909 × 68,279.40
  4. Step 4: Simplify right side
    255,272.76x = 26,144,796,774.60
  5. Step 5: Solve for x
    x = 26,144,796,774.60/255,272.76
  6. Step 6: Final answer
    x = 102,419.06

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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.