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Finding the Fourth Proportional to 204,000.40, 306,000.60 and 172,507.60

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Solution

The fourth proportional to 204,000.40, 306,000.60 and 172,507.60 is: 258,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,000.40 : 306,000.60 = 172,507.60 : x
  2. Step 2: Convert to fraction form
    204,000.40/306,000.60 = 172,507.60/x
  3. Step 3: Cross multiply
    204,000.40x = 306,000.60 × 172,507.60
  4. Step 4: Simplify right side
    204,000.40x = 52,787,429,104.56
  5. Step 5: Solve for x
    x = 52,787,429,104.56/204,000.40
  6. Step 6: Final answer
    x = 258,761.40

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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.