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Finding the Fourth Proportional to 355,659.21, 490,810.05 and 194,513.76

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Solution

The fourth proportional to 355,659.21, 490,810.05 and 194,513.76 is: 268,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,659.21 : 490,810.05 = 194,513.76 : x
  2. Step 2: Convert to fraction form
    355,659.21/490,810.05 = 194,513.76/x
  3. Step 3: Cross multiply
    355,659.21x = 490,810.05 × 194,513.76
  4. Step 4: Simplify right side
    355,659.21x = 95,469,308,271.29
  5. Step 5: Solve for x
    x = 95,469,308,271.29/355,659.21
  6. Step 6: Final answer
    x = 268,429.17

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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.