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Finding the Fourth Proportional to 278,982.94, 418,466.67 and 101,493.22

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Solution

The fourth proportional to 278,982.94, 418,466.67 and 101,493.22 is: 152,237.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,982.94 : 418,466.67 = 101,493.22 : x
  2. Step 2: Convert to fraction form
    278,982.94/418,466.67 = 101,493.22/x
  3. Step 3: Cross multiply
    278,982.94x = 418,466.67 × 101,493.22
  4. Step 4: Simplify right side
    278,982.94x = 42,471,529,800.98
  5. Step 5: Solve for x
    x = 42,471,529,800.98/278,982.94
  6. Step 6: Final answer
    x = 152,237.01

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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.