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Finding the Fourth Proportional to 253,889.40, 380,757.34 and 76,349.32

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Solution

The fourth proportional to 253,889.40, 380,757.34 and 76,349.32 is: 114,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,889.40 : 380,757.34 = 76,349.32 : x
  2. Step 2: Convert to fraction form
    253,889.40/380,757.34 = 76,349.32/x
  3. Step 3: Cross multiply
    253,889.40x = 380,757.34 × 76,349.32
  4. Step 4: Simplify right side
    253,889.40x = 29,070,563,994.01
  5. Step 5: Solve for x
    x = 29,070,563,994.01/253,889.40
  6. Step 6: Final answer
    x = 114,500.90

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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.