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Finding the Fourth Proportional to 256,196.10, 384,312.53 and 73,819.44

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Solution

The fourth proportional to 256,196.10, 384,312.53 and 73,819.44 is: 110,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,196.10 : 384,312.53 = 73,819.44 : x
  2. Step 2: Convert to fraction form
    256,196.10/384,312.53 = 73,819.44/x
  3. Step 3: Cross multiply
    256,196.10x = 384,312.53 × 73,819.44
  4. Step 4: Simplify right side
    256,196.10x = 28,369,735,380.49
  5. Step 5: Solve for x
    x = 28,369,735,380.49/256,196.10
  6. Step 6: Final answer
    x = 110,734.45

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1.5x scale

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.