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Finding the Fourth Proportional to 509,243.46, 702,757.71 and 279,819.06

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Solution

The fourth proportional to 509,243.46, 702,757.71 and 279,819.06 is: 386,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,243.46 : 702,757.71 = 279,819.06 : x
  2. Step 2: Convert to fraction form
    509,243.46/702,757.71 = 279,819.06/x
  3. Step 3: Cross multiply
    509,243.46x = 702,757.71 × 279,819.06
  4. Step 4: Simplify right side
    509,243.46x = 196,645,001,819.95
  5. Step 5: Solve for x
    x = 196,645,001,819.95/509,243.46
  6. Step 6: Final answer
    x = 386,151.26

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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.