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Finding the Fourth Proportional to 507,168.67, 699,892.79 and 280,814.17

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Solution

The fourth proportional to 507,168.67, 699,892.79 and 280,814.17 is: 387,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,168.67 : 699,892.79 = 280,814.17 : x
  2. Step 2: Convert to fraction form
    507,168.67/699,892.79 = 280,814.17/x
  3. Step 3: Cross multiply
    507,168.67x = 699,892.79 × 280,814.17
  4. Step 4: Simplify right side
    507,168.67x = 196,539,812,912.83
  5. Step 5: Solve for x
    x = 196,539,812,912.83/507,168.67
  6. Step 6: Final answer
    x = 387,523.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.