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Finding the Fourth Proportional to 320,413.69, 442,362.75 and 199,718.45

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Solution

The fourth proportional to 320,413.69, 442,362.75 and 199,718.45 is: 275,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,413.69 : 442,362.75 = 199,718.45 : x
  2. Step 2: Convert to fraction form
    320,413.69/442,362.75 = 199,718.45/x
  3. Step 3: Cross multiply
    320,413.69x = 442,362.75 × 199,718.45
  4. Step 4: Simplify right side
    320,413.69x = 88,348,005,077.55
  5. Step 5: Solve for x
    x = 88,348,005,077.55/320,413.69
  6. Step 6: Final answer
    x = 275,731.06

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1.5x scale

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.