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Finding the Fourth Proportional to 355,404.56, 490,444.89 and 194,258.30

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Solution

The fourth proportional to 355,404.56, 490,444.89 and 194,258.30 is: 268,069.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,404.56 : 490,444.89 = 194,258.30 : x
  2. Step 2: Convert to fraction form
    355,404.56/490,444.89 = 194,258.30/x
  3. Step 3: Cross multiply
    355,404.56x = 490,444.89 × 194,258.30
  4. Step 4: Simplify right side
    355,404.56x = 95,272,990,575.09
  5. Step 5: Solve for x
    x = 95,272,990,575.09/355,404.56
  6. Step 6: Final answer
    x = 268,069.13

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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.