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Finding the Fourth Proportional to 499,846.60, 689,786.78 and 270,403.82

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Solution

The fourth proportional to 499,846.60, 689,786.78 and 270,403.82 is: 373,156.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,846.60 : 689,786.78 = 270,403.82 : x
  2. Step 2: Convert to fraction form
    499,846.60/689,786.78 = 270,403.82/x
  3. Step 3: Cross multiply
    499,846.60x = 689,786.78 × 270,403.82
  4. Step 4: Simplify right side
    499,846.60x = 186,520,976,848.57
  5. Step 5: Solve for x
    x = 186,520,976,848.57/499,846.60
  6. Step 6: Final answer
    x = 373,156.44

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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.