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Finding the Fourth Proportional to 397,804.66, 548,983.89 and 216,523.16

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Solution

The fourth proportional to 397,804.66, 548,983.89 and 216,523.16 is: 298,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,804.66 : 548,983.89 = 216,523.16 : x
  2. Step 2: Convert to fraction form
    397,804.66/548,983.89 = 216,523.16/x
  3. Step 3: Cross multiply
    397,804.66x = 548,983.89 × 216,523.16
  4. Step 4: Simplify right side
    397,804.66x = 118,867,726,651.89
  5. Step 5: Solve for x
    x = 118,867,726,651.89/397,804.66
  6. Step 6: Final answer
    x = 298,809.29

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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.