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Finding the Fourth Proportional to 271,685.40, 407,835.30 and 160,939.80

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Solution

The fourth proportional to 271,685.40, 407,835.30 and 160,939.80 is: 241,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,685.40 : 407,835.30 = 160,939.80 : x
  2. Step 2: Convert to fraction form
    271,685.40/407,835.30 = 160,939.80/x
  3. Step 3: Cross multiply
    271,685.40x = 407,835.30 × 160,939.80
  4. Step 4: Simplify right side
    271,685.40x = 65,636,931,614.94
  5. Step 5: Solve for x
    x = 65,636,931,614.94/271,685.40
  6. Step 6: Final answer
    x = 241,591.68

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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.