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Finding the Fourth Proportional to 409,558.68, 614,614.77 and 143,321.49

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Solution

The fourth proportional to 409,558.68, 614,614.77 and 143,321.49 is: 215,079.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,558.68 : 614,614.77 = 143,321.49 : x
  2. Step 2: Convert to fraction form
    409,558.68/614,614.77 = 143,321.49/x
  3. Step 3: Cross multiply
    409,558.68x = 614,614.77 × 143,321.49
  4. Step 4: Simplify right side
    409,558.68x = 88,087,504,612.41
  5. Step 5: Solve for x
    x = 88,087,504,612.41/409,558.68
  6. Step 6: Final answer
    x = 215,079.08

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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.