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Finding the Fourth Proportional to 320,842.16, 481,736.35 and 178,964.64

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Solution

The fourth proportional to 320,842.16, 481,736.35 and 178,964.64 is: 268,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,842.16 : 481,736.35 = 178,964.64 : x
  2. Step 2: Convert to fraction form
    320,842.16/481,736.35 = 178,964.64/x
  3. Step 3: Cross multiply
    320,842.16x = 481,736.35 × 178,964.64
  4. Step 4: Simplify right side
    320,842.16x = 86,213,773,179.71
  5. Step 5: Solve for x
    x = 86,213,773,179.71/320,842.16
  6. Step 6: Final answer
    x = 268,710.86

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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.