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Finding the Fourth Proportional to 256,377.89, 384,679.58 and 136,406.63

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Solution

The fourth proportional to 256,377.89, 384,679.58 and 136,406.63 is: 204,669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,377.89 : 384,679.58 = 136,406.63 : x
  2. Step 2: Convert to fraction form
    256,377.89/384,679.58 = 136,406.63/x
  3. Step 3: Cross multiply
    256,377.89x = 384,679.58 × 136,406.63
  4. Step 4: Simplify right side
    256,377.89x = 52,472,846,184.57
  5. Step 5: Solve for x
    x = 52,472,846,184.57/256,377.89
  6. Step 6: Final answer
    x = 204,669.93

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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.