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Finding the Fourth Proportional to 569,721, 785,977.42 and 327,945.72

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Solution

The fourth proportional to 569,721, 785,977.42 and 327,945.72 is: 452,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,721 : 785,977.42 = 327,945.72 : x
  2. Step 2: Convert to fraction form
    569,721/785,977.42 = 327,945.72/x
  3. Step 3: Cross multiply
    569,721x = 785,977.42 × 327,945.72
  4. Step 4: Simplify right side
    569,721x = 257,757,930,905.64
  5. Step 5: Solve for x
    x = 257,757,930,905.64/569,721
  6. Step 6: Final answer
    x = 452,428.35

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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.