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Finding the Fourth Proportional to 492,424.45, 680,105.97 and 330,999.14

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Solution

The fourth proportional to 492,424.45, 680,105.97 and 330,999.14 is: 457,155.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,424.45 : 680,105.97 = 330,999.14 : x
  2. Step 2: Convert to fraction form
    492,424.45/680,105.97 = 330,999.14/x
  3. Step 3: Cross multiply
    492,424.45x = 680,105.97 × 330,999.14
  4. Step 4: Simplify right side
    492,424.45x = 225,114,492,879.13
  5. Step 5: Solve for x
    x = 225,114,492,879.13/492,424.45
  6. Step 6: Final answer
    x = 457,155.40

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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.