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Finding the Fourth Proportional to 509,969.60, 765,027.30 and 173,025.80

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Solution

The fourth proportional to 509,969.60, 765,027.30 and 173,025.80 is: 259,563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,969.60 : 765,027.30 = 173,025.80 : x
  2. Step 2: Convert to fraction form
    509,969.60/765,027.30 = 173,025.80/x
  3. Step 3: Cross multiply
    509,969.60x = 765,027.30 × 173,025.80
  4. Step 4: Simplify right side
    509,969.60x = 132,369,460,604.34
  5. Step 5: Solve for x
    x = 132,369,460,604.34/509,969.60
  6. Step 6: Final answer
    x = 259,563.43

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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.