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Finding the Fourth Proportional to 492,918.80, 739,375.80 and 193,187.60

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Solution

The fourth proportional to 492,918.80, 739,375.80 and 193,187.60 is: 289,780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,918.80 : 739,375.80 = 193,187.60 : x
  2. Step 2: Convert to fraction form
    492,918.80/739,375.80 = 193,187.60/x
  3. Step 3: Cross multiply
    492,918.80x = 739,375.80 × 193,187.60
  4. Step 4: Simplify right side
    492,918.80x = 142,838,236,300.08
  5. Step 5: Solve for x
    x = 142,838,236,300.08/492,918.80
  6. Step 6: Final answer
    x = 289,780.46

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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.