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Finding the Fourth Proportional to 433,144.71, 649,778.09 and 133,649.64

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Solution

The fourth proportional to 433,144.71, 649,778.09 and 133,649.64 is: 200,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,144.71 : 649,778.09 = 133,649.64 : x
  2. Step 2: Convert to fraction form
    433,144.71/649,778.09 = 133,649.64/x
  3. Step 3: Cross multiply
    433,144.71x = 649,778.09 × 133,649.64
  4. Step 4: Simplify right side
    433,144.71x = 86,842,607,140.14
  5. Step 5: Solve for x
    x = 86,842,607,140.14/433,144.71
  6. Step 6: Final answer
    x = 200,493.29

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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.