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Finding the Fourth Proportional to 409,313.16, 613,939.77 and 128,910.60

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Solution

The fourth proportional to 409,313.16, 613,939.77 and 128,910.60 is: 193,356.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,313.16 : 613,939.77 = 128,910.60 : x
  2. Step 2: Convert to fraction form
    409,313.16/613,939.77 = 128,910.60/x
  3. Step 3: Cross multiply
    409,313.16x = 613,939.77 × 128,910.60
  4. Step 4: Simplify right side
    409,313.16x = 79,143,344,114.56
  5. Step 5: Solve for x
    x = 79,143,344,114.56/409,313.16
  6. Step 6: Final answer
    x = 193,356.46

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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.