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Finding the Fourth Proportional to 432,187.30, 647,945.22 and 280,063.02

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Solution

The fourth proportional to 432,187.30, 647,945.22 and 280,063.02 is: 419,876.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,187.30 : 647,945.22 = 280,063.02 : x
  2. Step 2: Convert to fraction form
    432,187.30/647,945.22 = 280,063.02/x
  3. Step 3: Cross multiply
    432,187.30x = 647,945.22 × 280,063.02
  4. Step 4: Simplify right side
    432,187.30x = 181,465,494,943.10
  5. Step 5: Solve for x
    x = 181,465,494,943.10/432,187.30
  6. Step 6: Final answer
    x = 419,876.98

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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.