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Finding the Fourth Proportional to 320,493.69, 480,346.86 and 179,957.07

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Solution

The fourth proportional to 320,493.69, 480,346.86 and 179,957.07 is: 269,714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,493.69 : 480,346.86 = 179,957.07 : x
  2. Step 2: Convert to fraction form
    320,493.69/480,346.86 = 179,957.07/x
  3. Step 3: Cross multiply
    320,493.69x = 480,346.86 × 179,957.07
  4. Step 4: Simplify right side
    320,493.69x = 86,441,813,509.30
  5. Step 5: Solve for x
    x = 86,441,813,509.30/320,493.69
  6. Step 6: Final answer
    x = 269,714.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.