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Finding the Fourth Proportional to 647,674.68, 971,511.16 and 174,360.56

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Solution

The fourth proportional to 647,674.68, 971,511.16 and 174,360.56 is: 261,540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,674.68 : 971,511.16 = 174,360.56 : x
  2. Step 2: Convert to fraction form
    647,674.68/971,511.16 = 174,360.56/x
  3. Step 3: Cross multiply
    647,674.68x = 971,511.16 × 174,360.56
  4. Step 4: Simplify right side
    647,674.68x = 169,393,229,903.85
  5. Step 5: Solve for x
    x = 169,393,229,903.85/647,674.68
  6. Step 6: Final answer
    x = 261,540.61

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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.