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Finding the Fourth Proportional to 271,457.60, 407,318.88 and 192,006.05

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Solution

The fourth proportional to 271,457.60, 407,318.88 and 192,006.05 is: 288,102.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,457.60 : 407,318.88 = 192,006.05 : x
  2. Step 2: Convert to fraction form
    271,457.60/407,318.88 = 192,006.05/x
  3. Step 3: Cross multiply
    271,457.60x = 407,318.88 × 192,006.05
  4. Step 4: Simplify right side
    271,457.60x = 78,207,689,239.22
  5. Step 5: Solve for x
    x = 78,207,689,239.22/271,457.60
  6. Step 6: Final answer
    x = 288,102.78

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1.5x scale

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.