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Finding the Fourth Proportional to 357,975, 493,992.86 and 196,828.92

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Solution

The fourth proportional to 357,975, 493,992.86 and 196,828.92 is: 271,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,975 : 493,992.86 = 196,828.92 : x
  2. Step 2: Convert to fraction form
    357,975/493,992.86 = 196,828.92/x
  3. Step 3: Cross multiply
    357,975x = 493,992.86 × 196,828.92
  4. Step 4: Simplify right side
    357,975x = 97,232,081,121.51
  5. Step 5: Solve for x
    x = 97,232,081,121.51/357,975
  6. Step 6: Final answer
    x = 271,616.96

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1.5x scale

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.