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Finding the Fourth Proportional to 647,559.06, 971,263.86 and 174,207.21

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Solution

The fourth proportional to 647,559.06, 971,263.86 and 174,207.21 is: 261,290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,559.06 : 971,263.86 = 174,207.21 : x
  2. Step 2: Convert to fraction form
    647,559.06/971,263.86 = 174,207.21/x
  3. Step 3: Cross multiply
    647,559.06x = 971,263.86 × 174,207.21
  4. Step 4: Simplify right side
    647,559.06x = 169,201,167,224.43
  5. Step 5: Solve for x
    x = 169,201,167,224.43/647,559.06
  6. Step 6: Final answer
    x = 261,290.71

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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.