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Finding the Fourth Proportional to 644,200.65, 966,300.98 and 455,243.85

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Solution

The fourth proportional to 644,200.65, 966,300.98 and 455,243.85 is: 682,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,200.65 : 966,300.98 = 455,243.85 : x
  2. Step 2: Convert to fraction form
    644,200.65/966,300.98 = 455,243.85/x
  3. Step 3: Cross multiply
    644,200.65x = 966,300.98 × 455,243.85
  4. Step 4: Simplify right side
    644,200.65x = 439,902,576,117.75
  5. Step 5: Solve for x
    x = 439,902,576,117.75/644,200.65
  6. Step 6: Final answer
    x = 682,865.78

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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.