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Finding the Fourth Proportional to 768,483, 1,152,730.98 and 269,847

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Solution

The fourth proportional to 768,483, 1,152,730.98 and 269,847 is: 404,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,483 : 1,152,730.98 = 269,847 : x
  2. Step 2: Convert to fraction form
    768,483/1,152,730.98 = 269,847/x
  3. Step 3: Cross multiply
    768,483x = 1,152,730.98 × 269,847
  4. Step 4: Simplify right side
    768,483x = 311,060,996,760.06
  5. Step 5: Solve for x
    x = 311,060,996,760.06/768,483
  6. Step 6: Final answer
    x = 404,772.78

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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.