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Finding the Fourth Proportional to 509,304.49, 702,837.85 and 279,876.04

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Solution

The fourth proportional to 509,304.49, 702,837.85 and 279,876.04 is: 386,227.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,304.49 : 702,837.85 = 279,876.04 : x
  2. Step 2: Convert to fraction form
    509,304.49/702,837.85 = 279,876.04/x
  3. Step 3: Cross multiply
    509,304.49x = 702,837.85 × 279,876.04
  4. Step 4: Simplify right side
    509,304.49x = 196,707,474,220.11
  5. Step 5: Solve for x
    x = 196,707,474,220.11/509,304.49
  6. Step 6: Final answer
    x = 386,227.65

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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.