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Finding the Fourth Proportional to 451,924.48, 678,109.44 and 319,654.72

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Solution

The fourth proportional to 451,924.48, 678,109.44 and 319,654.72 is: 479,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,924.48 : 678,109.44 = 319,654.72 : x
  2. Step 2: Convert to fraction form
    451,924.48/678,109.44 = 319,654.72/x
  3. Step 3: Cross multiply
    451,924.48x = 678,109.44 × 319,654.72
  4. Step 4: Simplify right side
    451,924.48x = 216,760,883,172.56
  5. Step 5: Solve for x
    x = 216,760,883,172.56/451,924.48
  6. Step 6: Final answer
    x = 479,639.61

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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.