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Finding the Fourth Proportional to 278,821.80, 418,232.70 and 79,122.60

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Solution

The fourth proportional to 278,821.80, 418,232.70 and 79,122.60 is: 118,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,821.80 : 418,232.70 = 79,122.60 : x
  2. Step 2: Convert to fraction form
    278,821.80/418,232.70 = 79,122.60/x
  3. Step 3: Cross multiply
    278,821.80x = 418,232.70 × 79,122.60
  4. Step 4: Simplify right side
    278,821.80x = 33,091,658,629.02
  5. Step 5: Solve for x
    x = 33,091,658,629.02/278,821.80
  6. Step 6: Final answer
    x = 118,683.90

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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.