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Finding the Fourth Proportional to 509,414.52, 703,007.88 and 279,967.65

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Solution

The fourth proportional to 509,414.52, 703,007.88 and 279,967.65 is: 386,364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,414.52 : 703,007.88 = 279,967.65 : x
  2. Step 2: Convert to fraction form
    509,414.52/703,007.88 = 279,967.65/x
  3. Step 3: Cross multiply
    509,414.52x = 703,007.88 × 279,967.65
  4. Step 4: Simplify right side
    509,414.52x = 196,819,464,095.08
  5. Step 5: Solve for x
    x = 196,819,464,095.08/509,414.52
  6. Step 6: Final answer
    x = 386,364.06

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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.