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Finding the Fourth Proportional to 278,544.70, 417,844.68 and 101,065.54

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Solution

The fourth proportional to 278,544.70, 417,844.68 and 101,065.54 is: 151,608.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,544.70 : 417,844.68 = 101,065.54 : x
  2. Step 2: Convert to fraction form
    278,544.70/417,844.68 = 101,065.54/x
  3. Step 3: Cross multiply
    278,544.70x = 417,844.68 × 101,065.54
  4. Step 4: Simplify right side
    278,544.70x = 42,229,698,220.33
  5. Step 5: Solve for x
    x = 42,229,698,220.33/278,544.70
  6. Step 6: Final answer
    x = 151,608.34

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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.