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Finding the Fourth Proportional to 433,498.50, 650,251.26 and 133,978.32

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Solution

The fourth proportional to 433,498.50, 650,251.26 and 133,978.32 is: 200,968.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,498.50 : 650,251.26 = 133,978.32 : x
  2. Step 2: Convert to fraction form
    433,498.50/650,251.26 = 133,978.32/x
  3. Step 3: Cross multiply
    433,498.50x = 650,251.26 × 133,978.32
  4. Step 4: Simplify right side
    433,498.50x = 87,119,571,392.68
  5. Step 5: Solve for x
    x = 87,119,571,392.68/433,498.50
  6. Step 6: Final answer
    x = 200,968.56

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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.