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Finding the Fourth Proportional to 256,000, 383,985.60 and 78,506.53

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Solution

The fourth proportional to 256,000, 383,985.60 and 78,506.53 is: 117,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,000 : 383,985.60 = 78,506.53 : x
  2. Step 2: Convert to fraction form
    256,000/383,985.60 = 78,506.53/x
  3. Step 3: Cross multiply
    256,000x = 383,985.60 × 78,506.53
  4. Step 4: Simplify right side
    256,000x = 30,145,377,025.97
  5. Step 5: Solve for x
    x = 30,145,377,025.97/256,000
  6. Step 6: Final answer
    x = 117,755.38

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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.