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Finding the Fourth Proportional to 256,850.46, 385,278.34 and 114,702.98

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Solution

The fourth proportional to 256,850.46, 385,278.34 and 114,702.98 is: 172,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,850.46 : 385,278.34 = 114,702.98 : x
  2. Step 2: Convert to fraction form
    256,850.46/385,278.34 = 114,702.98/x
  3. Step 3: Cross multiply
    256,850.46x = 385,278.34 × 114,702.98
  4. Step 4: Simplify right side
    256,850.46x = 44,192,573,102.48
  5. Step 5: Solve for x
    x = 44,192,573,102.48/256,850.46
  6. Step 6: Final answer
    x = 172,055.65

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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.