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Finding the Fourth Proportional to 871,978.80, 1,203,361.20 and 489,997.92

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Solution

The fourth proportional to 871,978.80, 1,203,361.20 and 489,997.92 is: 676,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,978.80 : 1,203,361.20 = 489,997.92 : x
  2. Step 2: Convert to fraction form
    871,978.80/1,203,361.20 = 489,997.92/x
  3. Step 3: Cross multiply
    871,978.80x = 1,203,361.20 × 489,997.92
  4. Step 4: Simplify right side
    871,978.80x = 589,644,485,008.70
  5. Step 5: Solve for x
    x = 589,644,485,008.70/871,978.80
  6. Step 6: Final answer
    x = 676,214.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.