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Finding the Fourth Proportional to 432,029.80, 647,958.30 and 207,389.80

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Solution

The fourth proportional to 432,029.80, 647,958.30 and 207,389.80 is: 311,043.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,029.80 : 647,958.30 = 207,389.80 : x
  2. Step 2: Convert to fraction form
    432,029.80/647,958.30 = 207,389.80/x
  3. Step 3: Cross multiply
    432,029.80x = 647,958.30 × 207,389.80
  4. Step 4: Simplify right side
    432,029.80x = 134,379,942,245.34
  5. Step 5: Solve for x
    x = 134,379,942,245.34/432,029.80
  6. Step 6: Final answer
    x = 311,043.22

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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.