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Finding the Fourth Proportional to 256,737.24, 384,941.88 and 123,352.20

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Solution

The fourth proportional to 256,737.24, 384,941.88 and 123,352.20 is: 184,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,737.24 : 384,941.88 = 123,352.20 : x
  2. Step 2: Convert to fraction form
    256,737.24/384,941.88 = 123,352.20/x
  3. Step 3: Cross multiply
    256,737.24x = 384,941.88 × 123,352.20
  4. Step 4: Simplify right side
    256,737.24x = 47,483,427,770.14
  5. Step 5: Solve for x
    x = 47,483,427,770.14/256,737.24
  6. Step 6: Final answer
    x = 184,949.51

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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.