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Finding the Fourth Proportional to 704,571.82, 972,296.85 and 428,830

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Solution

The fourth proportional to 704,571.82, 972,296.85 and 428,830 is: 591,777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,571.82 : 972,296.85 = 428,830 : x
  2. Step 2: Convert to fraction form
    704,571.82/972,296.85 = 428,830/x
  3. Step 3: Cross multiply
    704,571.82x = 972,296.85 × 428,830
  4. Step 4: Simplify right side
    704,571.82x = 416,950,058,185.50
  5. Step 5: Solve for x
    x = 416,950,058,185.50/704,571.82
  6. Step 6: Final answer
    x = 591,777.94

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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.