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Finding the Fourth Proportional to 398,877.44, 550,448.72 and 217,586.40

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Solution

The fourth proportional to 398,877.44, 550,448.72 and 217,586.40 is: 300,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,877.44 : 550,448.72 = 217,586.40 : x
  2. Step 2: Convert to fraction form
    398,877.44/550,448.72 = 217,586.40/x
  3. Step 3: Cross multiply
    398,877.44x = 550,448.72 × 217,586.40
  4. Step 4: Simplify right side
    398,877.44x = 119,770,155,369.41
  5. Step 5: Solve for x
    x = 119,770,155,369.41/398,877.44
  6. Step 6: Final answer
    x = 300,268.06

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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.