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Finding the Fourth Proportional to 499,846.34, 689,786.43 and 270,403.56

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Solution

The fourth proportional to 499,846.34, 689,786.43 and 270,403.56 is: 373,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,846.34 : 689,786.43 = 270,403.56 : x
  2. Step 2: Convert to fraction form
    499,846.34/689,786.43 = 270,403.56/x
  3. Step 3: Cross multiply
    499,846.34x = 689,786.43 × 270,403.56
  4. Step 4: Simplify right side
    499,846.34x = 186,520,706,311.69
  5. Step 5: Solve for x
    x = 186,520,706,311.69/499,846.34
  6. Step 6: Final answer
    x = 373,156.09

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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.