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Finding the Fourth Proportional to 492,715.80, 739,073.70 and 412,999.65

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Solution

The fourth proportional to 492,715.80, 739,073.70 and 412,999.65 is: 619,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,715.80 : 739,073.70 = 412,999.65 : x
  2. Step 2: Convert to fraction form
    492,715.80/739,073.70 = 412,999.65/x
  3. Step 3: Cross multiply
    492,715.80x = 739,073.70 × 412,999.65
  4. Step 4: Simplify right side
    492,715.80x = 305,237,179,424.21
  5. Step 5: Solve for x
    x = 305,237,179,424.21/492,715.80
  6. Step 6: Final answer
    x = 619,499.48

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Similar ratio
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1.5x scale

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.