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Finding the Fourth Proportional to 397,792.77, 548,958.51 and 216,505.86

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Solution

The fourth proportional to 397,792.77, 548,958.51 and 216,505.86 is: 298,780.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,792.77 : 548,958.51 = 216,505.86 : x
  2. Step 2: Convert to fraction form
    397,792.77/548,958.51 = 216,505.86/x
  3. Step 3: Cross multiply
    397,792.77x = 548,958.51 × 216,505.86
  4. Step 4: Simplify right side
    397,792.77x = 118,852,734,311.87
  5. Step 5: Solve for x
    x = 118,852,734,311.87/397,792.77
  6. Step 6: Final answer
    x = 298,780.53

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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.