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Finding the Fourth Proportional to 357,894.56, 493,894.32 and 196,760

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Solution

The fourth proportional to 357,894.56, 493,894.32 and 196,760 is: 271,528.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,894.56 : 493,894.32 = 196,760 : x
  2. Step 2: Convert to fraction form
    357,894.56/493,894.32 = 196,760/x
  3. Step 3: Cross multiply
    357,894.56x = 493,894.32 × 196,760
  4. Step 4: Simplify right side
    357,894.56x = 97,178,646,403.20
  5. Step 5: Solve for x
    x = 97,178,646,403.20/357,894.56
  6. Step 6: Final answer
    x = 271,528.70

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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.