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Finding the Fourth Proportional to 311,779.76, 468,418.68 and 199,677.78

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Solution

The fourth proportional to 311,779.76, 468,418.68 and 199,677.78 is: 299,996.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,779.76 : 468,418.68 = 199,677.78 : x
  2. Step 2: Convert to fraction form
    311,779.76/468,418.68 = 199,677.78/x
  3. Step 3: Cross multiply
    311,779.76x = 468,418.68 × 199,677.78
  4. Step 4: Simplify right side
    311,779.76x = 93,532,802,132.93
  5. Step 5: Solve for x
    x = 93,532,802,132.93/311,779.76
  6. Step 6: Final answer
    x = 299,996.39

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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.