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Finding the Fourth Proportional to 357,538.92, 493,401.90 and 196,393.47

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Solution

The fourth proportional to 357,538.92, 493,401.90 and 196,393.47 is: 271,021.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,538.92 : 493,401.90 = 196,393.47 : x
  2. Step 2: Convert to fraction form
    357,538.92/493,401.90 = 196,393.47/x
  3. Step 3: Cross multiply
    357,538.92x = 493,401.90 × 196,393.47
  4. Step 4: Simplify right side
    357,538.92x = 96,900,911,245.59
  5. Step 5: Solve for x
    x = 96,900,911,245.59/357,538.92
  6. Step 6: Final answer
    x = 271,021.99

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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.