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Finding the Fourth Proportional to 509,224.86, 702,742.10 and 279,796.48

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Solution

The fourth proportional to 509,224.86, 702,742.10 and 279,796.48 is: 386,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,224.86 : 702,742.10 = 279,796.48 : x
  2. Step 2: Convert to fraction form
    509,224.86/702,742.10 = 279,796.48/x
  3. Step 3: Cross multiply
    509,224.86x = 702,742.10 × 279,796.48
  4. Step 4: Simplify right side
    509,224.86x = 196,624,762,771.97
  5. Step 5: Solve for x
    x = 196,624,762,771.97/509,224.86
  6. Step 6: Final answer
    x = 386,125.62

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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.