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Finding the Fourth Proportional to 561,893.94, 775,264.17 and 320,171.31

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Solution

The fourth proportional to 561,893.94, 775,264.17 and 320,171.31 is: 441,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,893.94 : 775,264.17 = 320,171.31 : x
  2. Step 2: Convert to fraction form
    561,893.94/775,264.17 = 320,171.31/x
  3. Step 3: Cross multiply
    561,893.94x = 775,264.17 × 320,171.31
  4. Step 4: Simplify right side
    561,893.94x = 248,217,344,904.96
  5. Step 5: Solve for x
    x = 248,217,344,904.96/561,893.94
  6. Step 6: Final answer
    x = 441,751.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.