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Finding the Fourth Proportional to 561,253.82, 841,880.73 and 206,114.18

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Solution

The fourth proportional to 561,253.82, 841,880.73 and 206,114.18 is: 309,171.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,253.82 : 841,880.73 = 206,114.18 : x
  2. Step 2: Convert to fraction form
    561,253.82/841,880.73 = 206,114.18/x
  3. Step 3: Cross multiply
    561,253.82x = 841,880.73 × 206,114.18
  4. Step 4: Simplify right side
    561,253.82x = 173,523,556,321.75
  5. Step 5: Solve for x
    x = 173,523,556,321.75/561,253.82
  6. Step 6: Final answer
    x = 309,171.27

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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.