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Finding the Fourth Proportional to 399,797.84, 599,493 and 133,462.64

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Solution

The fourth proportional to 399,797.84, 599,493 and 133,462.64 is: 200,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,797.84 : 599,493 = 133,462.64 : x
  2. Step 2: Convert to fraction form
    399,797.84/599,493 = 133,462.64/x
  3. Step 3: Cross multiply
    399,797.84x = 599,493 × 133,462.64
  4. Step 4: Simplify right side
    399,797.84x = 80,009,918,441.52
  5. Step 5: Solve for x
    x = 80,009,918,441.52/399,797.84
  6. Step 6: Final answer
    x = 200,125.94

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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.