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Finding the Fourth Proportional to 397,430.96, 548,449.41 and 216,138.98

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Solution

The fourth proportional to 397,430.96, 548,449.41 and 216,138.98 is: 298,268.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,430.96 : 548,449.41 = 216,138.98 : x
  2. Step 2: Convert to fraction form
    397,430.96/548,449.41 = 216,138.98/x
  3. Step 3: Cross multiply
    397,430.96x = 548,449.41 × 216,138.98
  4. Step 4: Simplify right side
    397,430.96x = 118,541,298,240.65
  5. Step 5: Solve for x
    x = 118,541,298,240.65/397,430.96
  6. Step 6: Final answer
    x = 298,268.91

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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.