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Finding the Fourth Proportional to 379,540.17, 569,409.94 and 136,405.78

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Solution

The fourth proportional to 379,540.17, 569,409.94 and 136,405.78 is: 204,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,540.17 : 569,409.94 = 136,405.78 : x
  2. Step 2: Convert to fraction form
    379,540.17/569,409.94 = 136,405.78/x
  3. Step 3: Cross multiply
    379,540.17x = 569,409.94 × 136,405.78
  4. Step 4: Simplify right side
    379,540.17x = 77,670,805,922.94
  5. Step 5: Solve for x
    x = 77,670,805,922.94/379,540.17
  6. Step 6: Final answer
    x = 204,644.50

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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.