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Finding the Fourth Proportional to 256,352.45, 384,528.69 and 167,680.53

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Solution

The fourth proportional to 256,352.45, 384,528.69 and 167,680.53 is: 251,520.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,352.45 : 384,528.69 = 167,680.53 : x
  2. Step 2: Convert to fraction form
    256,352.45/384,528.69 = 167,680.53/x
  3. Step 3: Cross multiply
    256,352.45x = 384,528.69 × 167,680.53
  4. Step 4: Simplify right side
    256,352.45x = 64,477,974,539.41
  5. Step 5: Solve for x
    x = 64,477,974,539.41/256,352.45
  6. Step 6: Final answer
    x = 251,520.81

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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.