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Finding the Fourth Proportional to 561,040.78, 841,644.21 and 206,027.12

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Solution

The fourth proportional to 561,040.78, 841,644.21 and 206,027.12 is: 309,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,040.78 : 841,644.21 = 206,027.12 : x
  2. Step 2: Convert to fraction form
    561,040.78/841,644.21 = 206,027.12/x
  3. Step 3: Cross multiply
    561,040.78x = 841,644.21 × 206,027.12
  4. Step 4: Simplify right side
    561,040.78x = 173,401,528,442.75
  5. Step 5: Solve for x
    x = 173,401,528,442.75/561,040.78
  6. Step 6: Final answer
    x = 309,071.17

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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.