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Finding the Fourth Proportional to 1,188,866,413.24, 1,640,590,702.99 and 660,264,449.86

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Solution

The fourth proportional to 1,188,866,413.24, 1,640,590,702.99 and 660,264,449.86 is: 911,139,978.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,866,413.24 : 1,640,590,702.99 = 660,264,449.86 : x
  2. Step 2: Convert to fraction form
    1,188,866,413.24/1,640,590,702.99 = 660,264,449.86/x
  3. Step 3: Cross multiply
    1,188,866,413.24x = 1,640,590,702.99 × 660,264,449.86
  4. Step 4: Simplify right side
    1,188,866,413.24x = 1,083,223,717,957,833,984
  5. Step 5: Solve for x
    x = 1,083,223,717,957,833,984/1,188,866,413.24
  6. Step 6: Final answer
    x = 911,139,978.30

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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.