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Finding the Fourth Proportional to 253,428.46, 380,227.14 and 84,965.44

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Solution

The fourth proportional to 253,428.46, 380,227.14 and 84,965.44 is: 127,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,428.46 : 380,227.14 = 84,965.44 : x
  2. Step 2: Convert to fraction form
    253,428.46/380,227.14 = 84,965.44/x
  3. Step 3: Cross multiply
    253,428.46x = 380,227.14 × 84,965.44
  4. Step 4: Simplify right side
    253,428.46x = 32,306,166,250.04
  5. Step 5: Solve for x
    x = 32,306,166,250.04/253,428.46
  6. Step 6: Final answer
    x = 127,476.47

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1.5x scale

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.