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Finding the Fourth Proportional to 299,081.21, 412,717.50 and 178,219.80

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Solution

The fourth proportional to 299,081.21, 412,717.50 and 178,219.80 is: 245,934.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,081.21 : 412,717.50 = 178,219.80 : x
  2. Step 2: Convert to fraction form
    299,081.21/412,717.50 = 178,219.80/x
  3. Step 3: Cross multiply
    299,081.21x = 412,717.50 × 178,219.80
  4. Step 4: Simplify right side
    299,081.21x = 73,554,430,306.50
  5. Step 5: Solve for x
    x = 73,554,430,306.50/299,081.21
  6. Step 6: Final answer
    x = 245,934.65

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1.5x scale

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.