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Finding the Fourth Proportional to 492,406.54, 738,610 and 380,250.70

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Solution

The fourth proportional to 492,406.54, 738,610 and 380,250.70 is: 570,376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,406.54 : 738,610 = 380,250.70 : x
  2. Step 2: Convert to fraction form
    492,406.54/738,610 = 380,250.70/x
  3. Step 3: Cross multiply
    492,406.54x = 738,610 × 380,250.70
  4. Step 4: Simplify right side
    492,406.54x = 280,856,969,527
  5. Step 5: Solve for x
    x = 280,856,969,527/492,406.54
  6. Step 6: Final answer
    x = 570,376.20

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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.