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Finding the Fourth Proportional to 633,539.74, 950,108.40 and 206,978.35

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Solution

The fourth proportional to 633,539.74, 950,108.40 and 206,978.35 is: 310,401.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,539.74 : 950,108.40 = 206,978.35 : x
  2. Step 2: Convert to fraction form
    633,539.74/950,108.40 = 206,978.35/x
  3. Step 3: Cross multiply
    633,539.74x = 950,108.40 × 206,978.35
  4. Step 4: Simplify right side
    633,539.74x = 196,651,864,202.60
  5. Step 5: Solve for x
    x = 196,651,864,202.60/633,539.74
  6. Step 6: Final answer
    x = 310,401.78

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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.