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Finding the Fourth Proportional to 256,200.60, 384,300.90 and 252,701.40

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Solution

The fourth proportional to 256,200.60, 384,300.90 and 252,701.40 is: 379,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,200.60 : 384,300.90 = 252,701.40 : x
  2. Step 2: Convert to fraction form
    256,200.60/384,300.90 = 252,701.40/x
  3. Step 3: Cross multiply
    256,200.60x = 384,300.90 × 252,701.40
  4. Step 4: Simplify right side
    256,200.60x = 97,113,375,451.26
  5. Step 5: Solve for x
    x = 97,113,375,451.26/256,200.60
  6. Step 6: Final answer
    x = 379,052.10

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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.