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Finding the Fourth Proportional to 355,109.86, 490,048.69 and 193,965.01

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Solution

The fourth proportional to 355,109.86, 490,048.69 and 193,965.01 is: 267,670.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,109.86 : 490,048.69 = 193,965.01 : x
  2. Step 2: Convert to fraction form
    355,109.86/490,048.69 = 193,965.01/x
  3. Step 3: Cross multiply
    355,109.86x = 490,048.69 × 193,965.01
  4. Step 4: Simplify right side
    355,109.86x = 95,052,299,056.34
  5. Step 5: Solve for x
    x = 95,052,299,056.34/355,109.86
  6. Step 6: Final answer
    x = 267,670.12

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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.