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Finding the Fourth Proportional to 328,492.75, 453,320 and 177,589.75

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Solution

The fourth proportional to 328,492.75, 453,320 and 177,589.75 is: 245,073.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,492.75 : 453,320 = 177,589.75 : x
  2. Step 2: Convert to fraction form
    328,492.75/453,320 = 177,589.75/x
  3. Step 3: Cross multiply
    328,492.75x = 453,320 × 177,589.75
  4. Step 4: Simplify right side
    328,492.75x = 80,504,985,470
  5. Step 5: Solve for x
    x = 80,504,985,470/328,492.75
  6. Step 6: Final answer
    x = 245,073.86

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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.