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Finding the Fourth Proportional to 253,680.54, 380,444.87 and 159,054.52

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Solution

The fourth proportional to 253,680.54, 380,444.87 and 159,054.52 is: 238,534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,680.54 : 380,444.87 = 159,054.52 : x
  2. Step 2: Convert to fraction form
    253,680.54/380,444.87 = 159,054.52/x
  3. Step 3: Cross multiply
    253,680.54x = 380,444.87 × 159,054.52
  4. Step 4: Simplify right side
    253,680.54x = 60,511,476,184.31
  5. Step 5: Solve for x
    x = 60,511,476,184.31/253,680.54
  6. Step 6: Final answer
    x = 238,534.17

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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.