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Finding the Fourth Proportional to 279,966.80, 419,950.20 and 173,678.60

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Solution

The fourth proportional to 279,966.80, 419,950.20 and 173,678.60 is: 260,517.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,966.80 : 419,950.20 = 173,678.60 : x
  2. Step 2: Convert to fraction form
    279,966.80/419,950.20 = 173,678.60/x
  3. Step 3: Cross multiply
    279,966.80x = 419,950.20 × 173,678.60
  4. Step 4: Simplify right side
    279,966.80x = 72,936,362,805.72
  5. Step 5: Solve for x
    x = 72,936,362,805.72/279,966.80
  6. Step 6: Final answer
    x = 260,517.90

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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.