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Finding the Fourth Proportional to 271,690.40, 407,535.60 and 131,463.20

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Solution

The fourth proportional to 271,690.40, 407,535.60 and 131,463.20 is: 197,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,690.40 : 407,535.60 = 131,463.20 : x
  2. Step 2: Convert to fraction form
    271,690.40/407,535.60 = 131,463.20/x
  3. Step 3: Cross multiply
    271,690.40x = 407,535.60 × 131,463.20
  4. Step 4: Simplify right side
    271,690.40x = 53,575,934,089.92
  5. Step 5: Solve for x
    x = 53,575,934,089.92/271,690.40
  6. Step 6: Final answer
    x = 197,194.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.