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Finding the Fourth Proportional to 357,938.64, 493,958.70 and 196,794.81

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Solution

The fourth proportional to 357,938.64, 493,958.70 and 196,794.81 is: 271,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,938.64 : 493,958.70 = 196,794.81 : x
  2. Step 2: Convert to fraction form
    357,938.64/493,958.70 = 196,794.81/x
  3. Step 3: Cross multiply
    357,938.64x = 493,958.70 × 196,794.81
  4. Step 4: Simplify right side
    357,938.64x = 97,208,508,514.35
  5. Step 5: Solve for x
    x = 97,208,508,514.35/357,938.64
  6. Step 6: Final answer
    x = 271,578.69

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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.