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Finding the Fourth Proportional to 499,646.63, 689,517.82 and 270,208.31

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Solution

The fourth proportional to 499,646.63, 689,517.82 and 270,208.31 is: 372,890.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,646.63 : 689,517.82 = 270,208.31 : x
  2. Step 2: Convert to fraction form
    499,646.63/689,517.82 = 270,208.31/x
  3. Step 3: Cross multiply
    499,646.63x = 689,517.82 × 270,208.31
  4. Step 4: Simplify right side
    499,646.63x = 186,313,440,227.33
  5. Step 5: Solve for x
    x = 186,313,440,227.33/499,646.63
  6. Step 6: Final answer
    x = 372,890.42

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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.