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Finding the Fourth Proportional to 509,194.35, 702,699.35 and 279,754.59

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Solution

The fourth proportional to 509,194.35, 702,699.35 and 279,754.59 is: 386,067.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,194.35 : 702,699.35 = 279,754.59 : x
  2. Step 2: Convert to fraction form
    509,194.35/702,699.35 = 279,754.59/x
  3. Step 3: Cross multiply
    509,194.35x = 702,699.35 × 279,754.59
  4. Step 4: Simplify right side
    509,194.35x = 196,583,367,153.74
  5. Step 5: Solve for x
    x = 196,583,367,153.74/509,194.35
  6. Step 6: Final answer
    x = 386,067.46

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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.