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Finding the Fourth Proportional to 509,984.60, 765,049.80 and 173,040.80

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Solution

The fourth proportional to 509,984.60, 765,049.80 and 173,040.80 is: 259,585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,984.60 : 765,049.80 = 173,040.80 : x
  2. Step 2: Convert to fraction form
    509,984.60/765,049.80 = 173,040.80/x
  3. Step 3: Cross multiply
    509,984.60x = 765,049.80 × 173,040.80
  4. Step 4: Simplify right side
    509,984.60x = 132,384,829,431.84
  5. Step 5: Solve for x
    x = 132,384,829,431.84/509,984.60
  6. Step 6: Final answer
    x = 259,585.94

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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.