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Finding the Fourth Proportional to 299,705.63, 449,697.96 and 131,203.76

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Solution

The fourth proportional to 299,705.63, 449,697.96 and 131,203.76 is: 196,866.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,705.63 : 449,697.96 = 131,203.76 : x
  2. Step 2: Convert to fraction form
    299,705.63/449,697.96 = 131,203.76/x
  3. Step 3: Cross multiply
    299,705.63x = 449,697.96 × 131,203.76
  4. Step 4: Simplify right side
    299,705.63x = 59,002,060,967.84
  5. Step 5: Solve for x
    x = 59,002,060,967.84/299,705.63
  6. Step 6: Final answer
    x = 196,866.71

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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.