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Finding the Fourth Proportional to 253,805.40, 380,675.04 and 120,770.28

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Solution

The fourth proportional to 253,805.40, 380,675.04 and 120,770.28 is: 181,139.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,805.40 : 380,675.04 = 120,770.28 : x
  2. Step 2: Convert to fraction form
    253,805.40/380,675.04 = 120,770.28/x
  3. Step 3: Cross multiply
    253,805.40x = 380,675.04 × 120,770.28
  4. Step 4: Simplify right side
    253,805.40x = 45,974,231,169.81
  5. Step 5: Solve for x
    x = 45,974,231,169.81/253,805.40
  6. Step 6: Final answer
    x = 181,139.69

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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.