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Finding the Fourth Proportional to 278,378.94, 417,534.38 and 118,519.36

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Solution

The fourth proportional to 278,378.94, 417,534.38 and 118,519.36 is: 177,764.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,378.94 : 417,534.38 = 118,519.36 : x
  2. Step 2: Convert to fraction form
    278,378.94/417,534.38 = 118,519.36/x
  3. Step 3: Cross multiply
    278,378.94x = 417,534.38 × 118,519.36
  4. Step 4: Simplify right side
    278,378.94x = 49,485,907,495.60
  5. Step 5: Solve for x
    x = 49,485,907,495.60/278,378.94
  6. Step 6: Final answer
    x = 177,764.55

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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.