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Finding the Fourth Proportional to 278,301.70, 417,351.88 and 118,388.26

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Solution

The fourth proportional to 278,301.70, 417,351.88 and 118,388.26 is: 177,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,301.70 : 417,351.88 = 118,388.26 : x
  2. Step 2: Convert to fraction form
    278,301.70/417,351.88 = 118,388.26/x
  3. Step 3: Cross multiply
    278,301.70x = 417,351.88 × 118,388.26
  4. Step 4: Simplify right side
    278,301.70x = 49,409,562,880.93
  5. Step 5: Solve for x
    x = 49,409,562,880.93/278,301.70
  6. Step 6: Final answer
    x = 177,539.57

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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.