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Finding the Fourth Proportional to 497,716.44, 686,768.82 and 279,924.48

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Solution

The fourth proportional to 497,716.44, 686,768.82 and 279,924.48 is: 386,250.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,716.44 : 686,768.82 = 279,924.48 : x
  2. Step 2: Convert to fraction form
    497,716.44/686,768.82 = 279,924.48/x
  3. Step 3: Cross multiply
    497,716.44x = 686,768.82 × 279,924.48
  4. Step 4: Simplify right side
    497,716.44x = 192,243,404,818.71
  5. Step 5: Solve for x
    x = 192,243,404,818.71/497,716.44
  6. Step 6: Final answer
    x = 386,250.86

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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.