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Finding the Fourth Proportional to 499,769.22, 749,653.21 and 162,809.31

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Solution

The fourth proportional to 499,769.22, 749,653.21 and 162,809.31 is: 244,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,769.22 : 749,653.21 = 162,809.31 : x
  2. Step 2: Convert to fraction form
    499,769.22/749,653.21 = 162,809.31/x
  3. Step 3: Cross multiply
    499,769.22x = 749,653.21 × 162,809.31
  4. Step 4: Simplify right side
    499,769.22x = 122,050,521,859.39
  5. Step 5: Solve for x
    x = 122,050,521,859.39/499,769.22
  6. Step 6: Final answer
    x = 244,213.76

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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.