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Finding the Fourth Proportional to 360,413.54, 497,406.93 and 199,280.78

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Solution

The fourth proportional to 360,413.54, 497,406.93 and 199,280.78 is: 275,027.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,413.54 : 497,406.93 = 199,280.78 : x
  2. Step 2: Convert to fraction form
    360,413.54/497,406.93 = 199,280.78/x
  3. Step 3: Cross multiply
    360,413.54x = 497,406.93 × 199,280.78
  4. Step 4: Simplify right side
    360,413.54x = 99,123,640,987.81
  5. Step 5: Solve for x
    x = 99,123,640,987.81/360,413.54
  6. Step 6: Final answer
    x = 275,027.52

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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.