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Finding the Fourth Proportional to 642,983.76, 964,254 and 263,797.44

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Solution

The fourth proportional to 642,983.76, 964,254 and 263,797.44 is: 395,605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,983.76 : 964,254 = 263,797.44 : x
  2. Step 2: Convert to fraction form
    642,983.76/964,254 = 263,797.44/x
  3. Step 3: Cross multiply
    642,983.76x = 964,254 × 263,797.44
  4. Step 4: Simplify right side
    642,983.76x = 254,367,736,709.76
  5. Step 5: Solve for x
    x = 254,367,736,709.76/642,983.76
  6. Step 6: Final answer
    x = 395,605.23

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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.