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Finding the Fourth Proportional to 509,406.57, 764,269.88 and 210,028.05

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Solution

The fourth proportional to 509,406.57, 764,269.88 and 210,028.05 is: 315,108.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,406.57 : 764,269.88 = 210,028.05 : x
  2. Step 2: Convert to fraction form
    509,406.57/764,269.88 = 210,028.05/x
  3. Step 3: Cross multiply
    509,406.57x = 764,269.88 × 210,028.05
  4. Step 4: Simplify right side
    509,406.57x = 160,518,111,519.99
  5. Step 5: Solve for x
    x = 160,518,111,519.99/509,406.57
  6. Step 6: Final answer
    x = 315,108.05

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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.