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Finding the Fourth Proportional to 492,074.34, 679,112.75 and 301,213.86

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Solution

The fourth proportional to 492,074.34, 679,112.75 and 301,213.86 is: 415,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,074.34 : 679,112.75 = 301,213.86 : x
  2. Step 2: Convert to fraction form
    492,074.34/679,112.75 = 301,213.86/x
  3. Step 3: Cross multiply
    492,074.34x = 679,112.75 × 301,213.86
  4. Step 4: Simplify right side
    492,074.34x = 204,558,172,802.72
  5. Step 5: Solve for x
    x = 204,558,172,802.72/492,074.34
  6. Step 6: Final answer
    x = 415,705.83

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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.