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Finding the Fourth Proportional to 385,761.80, 531,996.02 and 264,689.48

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Solution

The fourth proportional to 385,761.80, 531,996.02 and 264,689.48 is: 365,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,761.80 : 531,996.02 = 264,689.48 : x
  2. Step 2: Convert to fraction form
    385,761.80/531,996.02 = 264,689.48/x
  3. Step 3: Cross multiply
    385,761.80x = 531,996.02 × 264,689.48
  4. Step 4: Simplify right side
    385,761.80x = 140,813,749,895.87
  5. Step 5: Solve for x
    x = 140,813,749,895.87/385,761.80
  6. Step 6: Final answer
    x = 365,027.72

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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.