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Finding the Fourth Proportional to 509,540.51, 703,174.70 and 280,107.47

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Solution

The fourth proportional to 509,540.51, 703,174.70 and 280,107.47 is: 386,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,540.51 : 703,174.70 = 280,107.47 : x
  2. Step 2: Convert to fraction form
    509,540.51/703,174.70 = 280,107.47/x
  3. Step 3: Cross multiply
    509,540.51x = 703,174.70 × 280,107.47
  4. Step 4: Simplify right side
    509,540.51x = 196,964,488,643.21
  5. Step 5: Solve for x
    x = 196,964,488,643.21/509,540.51
  6. Step 6: Final answer
    x = 386,553.15

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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.