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Finding the Fourth Proportional to 355,756.28, 490,943.50 and 194,611.30

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Solution

The fourth proportional to 355,756.28, 490,943.50 and 194,611.30 is: 268,563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,756.28 : 490,943.50 = 194,611.30 : x
  2. Step 2: Convert to fraction form
    355,756.28/490,943.50 = 194,611.30/x
  3. Step 3: Cross multiply
    355,756.28x = 490,943.50 × 194,611.30
  4. Step 4: Simplify right side
    355,756.28x = 95,543,152,761.55
  5. Step 5: Solve for x
    x = 95,543,152,761.55/355,756.28
  6. Step 6: Final answer
    x = 268,563.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.