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Finding the Fourth Proportional to 397,729.81, 548,867.21 and 218,881.81

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Solution

The fourth proportional to 397,729.81, 548,867.21 and 218,881.81 is: 302,056.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,729.81 : 548,867.21 = 218,881.81 : x
  2. Step 2: Convert to fraction form
    397,729.81/548,867.21 = 218,881.81/x
  3. Step 3: Cross multiply
    397,729.81x = 548,867.21 × 218,881.81
  4. Step 4: Simplify right side
    397,729.81x = 120,137,047,280.04
  5. Step 5: Solve for x
    x = 120,137,047,280.04/397,729.81
  6. Step 6: Final answer
    x = 302,056.93

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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.