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Finding the Fourth Proportional to 388,216.80, 582,689.70 and 198,817.74

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Solution

The fourth proportional to 388,216.80, 582,689.70 and 198,817.74 is: 298,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,216.80 : 582,689.70 = 198,817.74 : x
  2. Step 2: Convert to fraction form
    388,216.80/582,689.70 = 198,817.74/x
  3. Step 3: Cross multiply
    388,216.80x = 582,689.70 × 198,817.74
  4. Step 4: Simplify right side
    388,216.80x = 115,849,049,275.28
  5. Step 5: Solve for x
    x = 115,849,049,275.28/388,216.80
  6. Step 6: Final answer
    x = 298,413.28

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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.