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Finding the Fourth Proportional to 355,711.40, 490,871.34 and 194,563.01

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Solution

The fourth proportional to 355,711.40, 490,871.34 and 194,563.01 is: 268,491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,711.40 : 490,871.34 = 194,563.01 : x
  2. Step 2: Convert to fraction form
    355,711.40/490,871.34 = 194,563.01/x
  3. Step 3: Cross multiply
    355,711.40x = 490,871.34 × 194,563.01
  4. Step 4: Simplify right side
    355,711.40x = 95,505,406,660.31
  5. Step 5: Solve for x
    x = 95,505,406,660.31/355,711.40
  6. Step 6: Final answer
    x = 268,491.27

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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.