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Finding the Fourth Proportional to 509,007.94, 702,439.43 and 279,586.44

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Solution

The fourth proportional to 509,007.94, 702,439.43 and 279,586.44 is: 385,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,007.94 : 702,439.43 = 279,586.44 : x
  2. Step 2: Convert to fraction form
    509,007.94/702,439.43 = 279,586.44/x
  3. Step 3: Cross multiply
    509,007.94x = 702,439.43 × 279,586.44
  4. Step 4: Simplify right side
    509,007.94x = 196,392,538,151.40
  5. Step 5: Solve for x
    x = 196,392,538,151.40/509,007.94
  6. Step 6: Final answer
    x = 385,833.94

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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.