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Finding the Fourth Proportional to 311,778.51, 468,416.81 and 199,676.53

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Solution

The fourth proportional to 311,778.51, 468,416.81 and 199,676.53 is: 299,994.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,778.51 : 468,416.81 = 199,676.53 : x
  2. Step 2: Convert to fraction form
    311,778.51/468,416.81 = 199,676.53/x
  3. Step 3: Cross multiply
    311,778.51x = 468,416.81 × 199,676.53
  4. Step 4: Simplify right side
    311,778.51x = 93,531,843,214.47
  5. Step 5: Solve for x
    x = 93,531,843,214.47/311,778.51
  6. Step 6: Final answer
    x = 299,994.52

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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.