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Finding the Fourth Proportional to 432,040.05, 647,865.68 and 165,712.05

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Solution

The fourth proportional to 432,040.05, 647,865.68 and 165,712.05 is: 248,493.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,040.05 : 647,865.68 = 165,712.05 : x
  2. Step 2: Convert to fraction form
    432,040.05/647,865.68 = 165,712.05/x
  3. Step 3: Cross multiply
    432,040.05x = 647,865.68 × 165,712.05
  4. Step 4: Simplify right side
    432,040.05x = 107,359,149,128.88
  5. Step 5: Solve for x
    x = 107,359,149,128.88/432,040.05
  6. Step 6: Final answer
    x = 248,493.51

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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.