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Finding the Fourth Proportional to 355,909.76, 491,139.72 and 194,771.60

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Solution

The fourth proportional to 355,909.76, 491,139.72 and 194,771.60 is: 268,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,909.76 : 491,139.72 = 194,771.60 : x
  2. Step 2: Convert to fraction form
    355,909.76/491,139.72 = 194,771.60/x
  3. Step 3: Cross multiply
    355,909.76x = 491,139.72 × 194,771.60
  4. Step 4: Simplify right side
    355,909.76x = 95,660,071,236.69
  5. Step 5: Solve for x
    x = 95,660,071,236.69/355,909.76
  6. Step 6: Final answer
    x = 268,776.19

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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.