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Finding the Fourth Proportional to 253,858.64, 380,744.94 and 118,936.76

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Solution

The fourth proportional to 253,858.64, 380,744.94 and 118,936.76 is: 178,384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,858.64 : 380,744.94 = 118,936.76 : x
  2. Step 2: Convert to fraction form
    253,858.64/380,744.94 = 118,936.76/x
  3. Step 3: Cross multiply
    253,858.64x = 380,744.94 × 118,936.76
  4. Step 4: Simplify right side
    253,858.64x = 45,284,569,549.99
  5. Step 5: Solve for x
    x = 45,284,569,549.99/253,858.64
  6. Step 6: Final answer
    x = 178,384.98

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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.