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Finding the Fourth Proportional to 385,757.80, 531,990.50 and 264,685.48

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Solution

The fourth proportional to 385,757.80, 531,990.50 and 264,685.48 is: 365,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,757.80 : 531,990.50 = 264,685.48 : x
  2. Step 2: Convert to fraction form
    385,757.80/531,990.50 = 264,685.48/x
  3. Step 3: Cross multiply
    385,757.80x = 531,990.50 × 264,685.48
  4. Step 4: Simplify right side
    385,757.80x = 140,810,160,847.94
  5. Step 5: Solve for x
    x = 140,810,160,847.94/385,757.80
  6. Step 6: Final answer
    x = 365,022.20

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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.