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Finding the Fourth Proportional to 509,125.80, 763,907.40 and 259,807.80

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Solution

The fourth proportional to 509,125.80, 763,907.40 and 259,807.80 is: 389,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,125.80 : 763,907.40 = 259,807.80 : x
  2. Step 2: Convert to fraction form
    509,125.80/763,907.40 = 259,807.80/x
  3. Step 3: Cross multiply
    509,125.80x = 763,907.40 × 259,807.80
  4. Step 4: Simplify right side
    509,125.80x = 198,469,100,997.72
  5. Step 5: Solve for x
    x = 198,469,100,997.72/509,125.80
  6. Step 6: Final answer
    x = 389,823.30

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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.