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Finding the Fourth Proportional to 499,244.76, 749,054.16 and 259,208.88

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Solution

The fourth proportional to 499,244.76, 749,054.16 and 259,208.88 is: 388,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,244.76 : 749,054.16 = 259,208.88 : x
  2. Step 2: Convert to fraction form
    499,244.76/749,054.16 = 259,208.88/x
  3. Step 3: Cross multiply
    499,244.76x = 749,054.16 × 259,208.88
  4. Step 4: Simplify right side
    499,244.76x = 194,161,489,872.94
  5. Step 5: Solve for x
    x = 194,161,489,872.94/499,244.76
  6. Step 6: Final answer
    x = 388,910.42

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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.