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Finding the Fourth Proportional to 358,171.86, 494,278.31 and 197,039.16

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Solution

The fourth proportional to 358,171.86, 494,278.31 and 197,039.16 is: 271,914.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,171.86 : 494,278.31 = 197,039.16 : x
  2. Step 2: Convert to fraction form
    358,171.86/494,278.31 = 197,039.16/x
  3. Step 3: Cross multiply
    358,171.86x = 494,278.31 × 197,039.16
  4. Step 4: Simplify right side
    358,171.86x = 97,392,182,023.42
  5. Step 5: Solve for x
    x = 97,392,182,023.42/358,171.86
  6. Step 6: Final answer
    x = 271,914.67

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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.