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Finding the Fourth Proportional to 509,800.33, 703,542.53 and 280,375.36

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Solution

The fourth proportional to 509,800.33, 703,542.53 and 280,375.36 is: 386,927.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,800.33 : 703,542.53 = 280,375.36 : x
  2. Step 2: Convert to fraction form
    509,800.33/703,542.53 = 280,375.36/x
  3. Step 3: Cross multiply
    509,800.33x = 703,542.53 × 280,375.36
  4. Step 4: Simplify right side
    509,800.33x = 197,255,987,883.31
  5. Step 5: Solve for x
    x = 197,255,987,883.31/509,800.33
  6. Step 6: Final answer
    x = 386,927.93

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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.