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Finding the Fourth Proportional to 509,616.45, 764,129.43 and 172,544.67

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Solution

The fourth proportional to 509,616.45, 764,129.43 and 172,544.67 is: 258,717.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,616.45 : 764,129.43 = 172,544.67 : x
  2. Step 2: Convert to fraction form
    509,616.45/764,129.43 = 172,544.67/x
  3. Step 3: Cross multiply
    509,616.45x = 764,129.43 × 172,544.67
  4. Step 4: Simplify right side
    509,616.45x = 131,846,460,336.64
  5. Step 5: Solve for x
    x = 131,846,460,336.64/509,616.45
  6. Step 6: Final answer
    x = 258,717.04

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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.