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Finding the Fourth Proportional to 398,290.02, 597,493.97 and 128,327.68

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Solution

The fourth proportional to 398,290.02, 597,493.97 and 128,327.68 is: 192,510.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,290.02 : 597,493.97 = 128,327.68 : x
  2. Step 2: Convert to fraction form
    398,290.02/597,493.97 = 128,327.68/x
  3. Step 3: Cross multiply
    398,290.02x = 597,493.97 × 128,327.68
  4. Step 4: Simplify right side
    398,290.02x = 76,675,014,984.09
  5. Step 5: Solve for x
    x = 76,675,014,984.09/398,290.02
  6. Step 6: Final answer
    x = 192,510.51

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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.