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Finding the Fourth Proportional to 357,872.92, 493,865.17 and 196,728.95

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Solution

The fourth proportional to 357,872.92, 493,865.17 and 196,728.95 is: 271,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,872.92 : 493,865.17 = 196,728.95 : x
  2. Step 2: Convert to fraction form
    357,872.92/493,865.17 = 196,728.95/x
  3. Step 3: Cross multiply
    357,872.92x = 493,865.17 × 196,728.95
  4. Step 4: Simplify right side
    357,872.92x = 97,157,577,078.51
  5. Step 5: Solve for x
    x = 97,157,577,078.51/357,872.92
  6. Step 6: Final answer
    x = 271,486.25

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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.