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Finding the Fourth Proportional to 492,438.40, 738,139.20 and 192,803.20

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Solution

The fourth proportional to 492,438.40, 738,139.20 and 192,803.20 is: 289,001.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,438.40 : 738,139.20 = 192,803.20 : x
  2. Step 2: Convert to fraction form
    492,438.40/738,139.20 = 192,803.20/x
  3. Step 3: Cross multiply
    492,438.40x = 738,139.20 × 192,803.20
  4. Step 4: Simplify right side
    492,438.40x = 142,315,599,805.44
  5. Step 5: Solve for x
    x = 142,315,599,805.44/492,438.40
  6. Step 6: Final answer
    x = 289,001.83

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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.