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Finding the Fourth Proportional to 550,833.40, 827,999.70 and 519,340.60

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Solution

The fourth proportional to 550,833.40, 827,999.70 and 519,340.60 is: 780,660.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,833.40 : 827,999.70 = 519,340.60 : x
  2. Step 2: Convert to fraction form
    550,833.40/827,999.70 = 519,340.60/x
  3. Step 3: Cross multiply
    550,833.40x = 827,999.70 × 519,340.60
  4. Step 4: Simplify right side
    550,833.40x = 430,013,860,997.82
  5. Step 5: Solve for x
    x = 430,013,860,997.82/550,833.40
  6. Step 6: Final answer
    x = 780,660.47

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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.