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Finding the Fourth Proportional to 380,015.94, 524,413.91 and 207,933.21

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Solution

The fourth proportional to 380,015.94, 524,413.91 and 207,933.21 is: 286,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,015.94 : 524,413.91 = 207,933.21 : x
  2. Step 2: Convert to fraction form
    380,015.94/524,413.91 = 207,933.21/x
  3. Step 3: Cross multiply
    380,015.94x = 524,413.91 × 207,933.21
  4. Step 4: Simplify right side
    380,015.94x = 109,043,067,674.95
  5. Step 5: Solve for x
    x = 109,043,067,674.95/380,015.94
  6. Step 6: Final answer
    x = 286,943.40

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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.