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Finding the Fourth Proportional to 657,911.45, 986,902.41 and 208,666.41

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Solution

The fourth proportional to 657,911.45, 986,902.41 and 208,666.41 is: 313,010.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,911.45 : 986,902.41 = 208,666.41 : x
  2. Step 2: Convert to fraction form
    657,911.45/986,902.41 = 208,666.41/x
  3. Step 3: Cross multiply
    657,911.45x = 986,902.41 × 208,666.41
  4. Step 4: Simplify right side
    657,911.45x = 205,933,382,915.05
  5. Step 5: Solve for x
    x = 205,933,382,915.05/657,911.45
  6. Step 6: Final answer
    x = 313,010.79

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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.