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Finding the Fourth Proportional to 492,428.40, 738,124.20 and 192,793.20

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Solution

The fourth proportional to 492,428.40, 738,124.20 and 192,793.20 is: 288,986.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,428.40 : 738,124.20 = 192,793.20 : x
  2. Step 2: Convert to fraction form
    492,428.40/738,124.20 = 192,793.20/x
  3. Step 3: Cross multiply
    492,428.40x = 738,124.20 × 192,793.20
  4. Step 4: Simplify right side
    492,428.40x = 142,305,326,515.44
  5. Step 5: Solve for x
    x = 142,305,326,515.44/492,428.40
  6. Step 6: Final answer
    x = 288,986.84

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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.