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Finding the Fourth Proportional to 253,687.40, 380,534.88 and 120,581.36

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Solution

The fourth proportional to 253,687.40, 380,534.88 and 120,581.36 is: 180,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,687.40 : 380,534.88 = 120,581.36 : x
  2. Step 2: Convert to fraction form
    253,687.40/380,534.88 = 120,581.36/x
  3. Step 3: Cross multiply
    253,687.40x = 380,534.88 × 120,581.36
  4. Step 4: Simplify right side
    253,687.40x = 45,885,413,357.84
  5. Step 5: Solve for x
    x = 45,885,413,357.84/253,687.40
  6. Step 6: Final answer
    x = 180,873.84

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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.