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Finding the Fourth Proportional to 509,342.82, 702,739.78 and 305,319.30

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Solution

The fourth proportional to 509,342.82, 702,739.78 and 305,319.30 is: 421,248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,342.82 : 702,739.78 = 305,319.30 : x
  2. Step 2: Convert to fraction form
    509,342.82/702,739.78 = 305,319.30/x
  3. Step 3: Cross multiply
    509,342.82x = 702,739.78 × 305,319.30
  4. Step 4: Simplify right side
    509,342.82x = 214,560,014,198.06
  5. Step 5: Solve for x
    x = 214,560,014,198.06/509,342.82
  6. Step 6: Final answer
    x = 421,248.73

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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.