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Finding the Fourth Proportional to 657,780.26, 986,793.39 and 208,380.45

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Solution

The fourth proportional to 657,780.26, 986,793.39 and 208,380.45 is: 312,609.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,780.26 : 986,793.39 = 208,380.45 : x
  2. Step 2: Convert to fraction form
    657,780.26/986,793.39 = 208,380.45/x
  3. Step 3: Cross multiply
    657,780.26x = 986,793.39 × 208,380.45
  4. Step 4: Simplify right side
    657,780.26x = 205,628,450,665.23
  5. Step 5: Solve for x
    x = 205,628,450,665.23/657,780.26
  6. Step 6: Final answer
    x = 312,609.64

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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.