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Finding the Fourth Proportional to 561,213.29, 841,902.93 and 206,199.61

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Solution

The fourth proportional to 561,213.29, 841,902.93 and 206,199.61 is: 309,329.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,213.29 : 841,902.93 = 206,199.61 : x
  2. Step 2: Convert to fraction form
    561,213.29/841,902.93 = 206,199.61/x
  3. Step 3: Cross multiply
    561,213.29x = 841,902.93 × 206,199.61
  4. Step 4: Simplify right side
    561,213.29x = 173,600,053,719.10
  5. Step 5: Solve for x
    x = 173,600,053,719.10/561,213.29
  6. Step 6: Final answer
    x = 309,329.90

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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.