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Finding the Fourth Proportional to 509,233.44, 702,742.50 and 279,805.44

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Solution

The fourth proportional to 509,233.44, 702,742.50 and 279,805.44 is: 386,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,233.44 : 702,742.50 = 279,805.44 : x
  2. Step 2: Convert to fraction form
    509,233.44/702,742.50 = 279,805.44/x
  3. Step 3: Cross multiply
    509,233.44x = 702,742.50 × 279,805.44
  4. Step 4: Simplify right side
    509,233.44x = 196,631,174,419.20
  5. Step 5: Solve for x
    x = 196,631,174,419.20/509,233.44
  6. Step 6: Final answer
    x = 386,131.70

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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.