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Finding the Fourth Proportional to 363,779.88, 502,021.42 and 208,756.43

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Solution

The fourth proportional to 363,779.88, 502,021.42 and 208,756.43 is: 288,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,779.88 : 502,021.42 = 208,756.43 : x
  2. Step 2: Convert to fraction form
    363,779.88/502,021.42 = 208,756.43/x
  3. Step 3: Cross multiply
    363,779.88x = 502,021.42 × 208,756.43
  4. Step 4: Simplify right side
    363,779.88x = 104,800,198,273.31
  5. Step 5: Solve for x
    x = 104,800,198,273.31/363,779.88
  6. Step 6: Final answer
    x = 288,086.85

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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.