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Finding the Fourth Proportional to 492,107.20, 738,122.40 and 192,529.60

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Solution

The fourth proportional to 492,107.20, 738,122.40 and 192,529.60 is: 288,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,107.20 : 738,122.40 = 192,529.60 : x
  2. Step 2: Convert to fraction form
    492,107.20/738,122.40 = 192,529.60/x
  3. Step 3: Cross multiply
    492,107.20x = 738,122.40 × 192,529.60
  4. Step 4: Simplify right side
    492,107.20x = 142,110,410,423.04
  5. Step 5: Solve for x
    x = 142,110,410,423.04/492,107.20
  6. Step 6: Final answer
    x = 288,779.38

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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.