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Finding the Fourth Proportional to 311,705.20, 430,131.58 and 175,744

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Solution

The fourth proportional to 311,705.20, 430,131.58 and 175,744 is: 242,514.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,705.20 : 430,131.58 = 175,744 : x
  2. Step 2: Convert to fraction form
    311,705.20/430,131.58 = 175,744/x
  3. Step 3: Cross multiply
    311,705.20x = 430,131.58 × 175,744
  4. Step 4: Simplify right side
    311,705.20x = 75,593,044,395.52
  5. Step 5: Solve for x
    x = 75,593,044,395.52/311,705.20
  6. Step 6: Final answer
    x = 242,514.54

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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.