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Finding the Fourth Proportional to 397,713.81, 548,856.60 and 216,437.43

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Solution

The fourth proportional to 397,713.81, 548,856.60 and 216,437.43 is: 298,689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,713.81 : 548,856.60 = 216,437.43 : x
  2. Step 2: Convert to fraction form
    397,713.81/548,856.60 = 216,437.43/x
  3. Step 3: Cross multiply
    397,713.81x = 548,856.60 × 216,437.43
  4. Step 4: Simplify right side
    397,713.81x = 118,793,110,860.35
  5. Step 5: Solve for x
    x = 118,793,110,860.35/397,713.81
  6. Step 6: Final answer
    x = 298,689.93

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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.