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Finding the Fourth Proportional to 352,711.32, 486,741.44 and 199,749.47

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Solution

The fourth proportional to 352,711.32, 486,741.44 and 199,749.47 is: 275,654.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,711.32 : 486,741.44 = 199,749.47 : x
  2. Step 2: Convert to fraction form
    352,711.32/486,741.44 = 199,749.47/x
  3. Step 3: Cross multiply
    352,711.32x = 486,741.44 × 199,749.47
  4. Step 4: Simplify right side
    352,711.32x = 97,226,341,234.58
  5. Step 5: Solve for x
    x = 97,226,341,234.58/352,711.32
  6. Step 6: Final answer
    x = 275,654.16

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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.