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Finding the Fourth Proportional to 647,595.21, 971,305.33 and 174,308.97

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Solution

The fourth proportional to 647,595.21, 971,305.33 and 174,308.97 is: 261,439.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,595.21 : 971,305.33 = 174,308.97 : x
  2. Step 2: Convert to fraction form
    647,595.21/971,305.33 = 174,308.97/x
  3. Step 3: Cross multiply
    647,595.21x = 971,305.33 × 174,308.97
  4. Step 4: Simplify right side
    647,595.21x = 169,307,231,627.81
  5. Step 5: Solve for x
    x = 169,307,231,627.81/647,595.21
  6. Step 6: Final answer
    x = 261,439.91

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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.