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Finding the Fourth Proportional to 271,688.56, 407,002.70 and 177,910

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Solution

The fourth proportional to 271,688.56, 407,002.70 and 177,910 is: 266,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,688.56 : 407,002.70 = 177,910 : x
  2. Step 2: Convert to fraction form
    271,688.56/407,002.70 = 177,910/x
  3. Step 3: Cross multiply
    271,688.56x = 407,002.70 × 177,910
  4. Step 4: Simplify right side
    271,688.56x = 72,409,849,467.45
  5. Step 5: Solve for x
    x = 72,409,849,467.45/271,688.56
  6. Step 6: Final answer
    x = 266,517.84

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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.