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Finding the Fourth Proportional to 492,665.80, 738,998.70 and 412,949.65

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Solution

The fourth proportional to 492,665.80, 738,998.70 and 412,949.65 is: 619,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,665.80 : 738,998.70 = 412,949.65 : x
  2. Step 2: Convert to fraction form
    492,665.80/738,998.70 = 412,949.65/x
  3. Step 3: Cross multiply
    492,665.80x = 738,998.70 × 412,949.65
  4. Step 4: Simplify right side
    492,665.80x = 305,169,254,515.46
  5. Step 5: Solve for x
    x = 305,169,254,515.46/492,665.80
  6. Step 6: Final answer
    x = 619,424.48

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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.