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Finding the Fourth Proportional to 442,989.90, 663,719.40 and 205,846.20

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Solution

The fourth proportional to 442,989.90, 663,719.40 and 205,846.20 is: 308,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,989.90 : 663,719.40 = 205,846.20 : x
  2. Step 2: Convert to fraction form
    442,989.90/663,719.40 = 205,846.20/x
  3. Step 3: Cross multiply
    442,989.90x = 663,719.40 × 205,846.20
  4. Step 4: Simplify right side
    442,989.90x = 136,624,116,356.28
  5. Step 5: Solve for x
    x = 136,624,116,356.28/442,989.90
  6. Step 6: Final answer
    x = 308,413.61

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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.