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Finding the Fourth Proportional to 363,780.88, 502,022.80 and 208,757.43

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Solution

The fourth proportional to 363,780.88, 502,022.80 and 208,757.43 is: 288,088.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,780.88 : 502,022.80 = 208,757.43 : x
  2. Step 2: Convert to fraction form
    363,780.88/502,022.80 = 208,757.43/x
  3. Step 3: Cross multiply
    363,780.88x = 502,022.80 × 208,757.43
  4. Step 4: Simplify right side
    363,780.88x = 104,800,989,529.40
  5. Step 5: Solve for x
    x = 104,800,989,529.40/363,780.88
  6. Step 6: Final answer
    x = 288,088.23

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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.