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Finding the Fourth Proportional to 492,706.80, 739,060.20 and 412,990.65

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Solution

The fourth proportional to 492,706.80, 739,060.20 and 412,990.65 is: 619,485.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,706.80 : 739,060.20 = 412,990.65 : x
  2. Step 2: Convert to fraction form
    492,706.80/739,060.20 = 412,990.65/x
  3. Step 3: Cross multiply
    492,706.80x = 739,060.20 × 412,990.65
  4. Step 4: Simplify right side
    492,706.80x = 305,224,952,387.13
  5. Step 5: Solve for x
    x = 305,224,952,387.13/492,706.80
  6. Step 6: Final answer
    x = 619,485.98

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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.