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Finding the Fourth Proportional to 456,660.71, 684,976.87 and 216,947.13

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Solution

The fourth proportional to 456,660.71, 684,976.87 and 216,947.13 is: 325,413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,660.71 : 684,976.87 = 216,947.13 : x
  2. Step 2: Convert to fraction form
    456,660.71/684,976.87 = 216,947.13/x
  3. Step 3: Cross multiply
    456,660.71x = 684,976.87 × 216,947.13
  4. Step 4: Simplify right side
    456,660.71x = 148,603,766,062.88
  5. Step 5: Solve for x
    x = 148,603,766,062.88/456,660.71
  6. Step 6: Final answer
    x = 325,413.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.