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Finding the Fourth Proportional to 284,832, 427,253.76 and 87,840

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Solution

The fourth proportional to 284,832, 427,253.76 and 87,840 is: 131,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,832 : 427,253.76 = 87,840 : x
  2. Step 2: Convert to fraction form
    284,832/427,253.76 = 87,840/x
  3. Step 3: Cross multiply
    284,832x = 427,253.76 × 87,840
  4. Step 4: Simplify right side
    284,832x = 37,529,970,278.40
  5. Step 5: Solve for x
    x = 37,529,970,278.40/284,832
  6. Step 6: Final answer
    x = 131,761.78

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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.