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Finding the Fourth Proportional to 642,959.37, 965,017.24 and 343,695.75

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Solution

The fourth proportional to 642,959.37, 965,017.24 and 343,695.75 is: 515,852.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,959.37 : 965,017.24 = 343,695.75 : x
  2. Step 2: Convert to fraction form
    642,959.37/965,017.24 = 343,695.75/x
  3. Step 3: Cross multiply
    642,959.37x = 965,017.24 × 343,695.75
  4. Step 4: Simplify right side
    642,959.37x = 331,672,324,064.73
  5. Step 5: Solve for x
    x = 331,672,324,064.73/642,959.37
  6. Step 6: Final answer
    x = 515,852.70

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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.