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Finding the Fourth Proportional to 640,945.98, 882,480.82 and 564,413.13

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Solution

The fourth proportional to 640,945.98, 882,480.82 and 564,413.13 is: 777,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,945.98 : 882,480.82 = 564,413.13 : x
  2. Step 2: Convert to fraction form
    640,945.98/882,480.82 = 564,413.13/x
  3. Step 3: Cross multiply
    640,945.98x = 882,480.82 × 564,413.13
  4. Step 4: Simplify right side
    640,945.98x = 498,083,761,781.17
  5. Step 5: Solve for x
    x = 498,083,761,781.17/640,945.98
  6. Step 6: Final answer
    x = 777,107.24

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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.