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Finding the Fourth Proportional to 278,636.70, 417,955.06 and 68,272.82

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Solution

The fourth proportional to 278,636.70, 417,955.06 and 68,272.82 is: 102,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,636.70 : 417,955.06 = 68,272.82 : x
  2. Step 2: Convert to fraction form
    278,636.70/417,955.06 = 68,272.82/x
  3. Step 3: Cross multiply
    278,636.70x = 417,955.06 × 68,272.82
  4. Step 4: Simplify right side
    278,636.70x = 28,534,970,579.47
  5. Step 5: Solve for x
    x = 28,534,970,579.47/278,636.70
  6. Step 6: Final answer
    x = 102,409.23

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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.