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Finding the Fourth Proportional to 369,179.71, 509,468.01 and 199,413.84

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Solution

The fourth proportional to 369,179.71, 509,468.01 and 199,413.84 is: 275,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,179.71 : 509,468.01 = 199,413.84 : x
  2. Step 2: Convert to fraction form
    369,179.71/509,468.01 = 199,413.84/x
  3. Step 3: Cross multiply
    369,179.71x = 509,468.01 × 199,413.84
  4. Step 4: Simplify right side
    369,179.71x = 101,594,972,231.26
  5. Step 5: Solve for x
    x = 101,594,972,231.26/369,179.71
  6. Step 6: Final answer
    x = 275,191.10

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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.