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Finding the Fourth Proportional to 509,903.10, 764,830.35 and 172,910.70

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Solution

The fourth proportional to 509,903.10, 764,830.35 and 172,910.70 is: 259,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,903.10 : 764,830.35 = 172,910.70 : x
  2. Step 2: Convert to fraction form
    509,903.10/764,830.35 = 172,910.70/x
  3. Step 3: Cross multiply
    509,903.10x = 764,830.35 × 172,910.70
  4. Step 4: Simplify right side
    509,903.10x = 132,247,351,199.75
  5. Step 5: Solve for x
    x = 132,247,351,199.75/509,903.10
  6. Step 6: Final answer
    x = 259,357.81

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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.