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Finding the Fourth Proportional to 505,321.90, 757,982.85 and 205,648.23

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Solution

The fourth proportional to 505,321.90, 757,982.85 and 205,648.23 is: 308,472.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,321.90 : 757,982.85 = 205,648.23 : x
  2. Step 2: Convert to fraction form
    505,321.90/757,982.85 = 205,648.23/x
  3. Step 3: Cross multiply
    505,321.90x = 757,982.85 × 205,648.23
  4. Step 4: Simplify right side
    505,321.90x = 155,877,827,682.94
  5. Step 5: Solve for x
    x = 155,877,827,682.94/505,321.90
  6. Step 6: Final answer
    x = 308,472.34

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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.