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Finding the Fourth Proportional to 278,674.54, 418,004.52 and 98,757.34

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Solution

The fourth proportional to 278,674.54, 418,004.52 and 98,757.34 is: 148,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,674.54 : 418,004.52 = 98,757.34 : x
  2. Step 2: Convert to fraction form
    278,674.54/418,004.52 = 98,757.34/x
  3. Step 3: Cross multiply
    278,674.54x = 418,004.52 × 98,757.34
  4. Step 4: Simplify right side
    278,674.54x = 41,281,014,503.18
  5. Step 5: Solve for x
    x = 41,281,014,503.18/278,674.54
  6. Step 6: Final answer
    x = 148,133.43

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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.