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Finding the Fourth Proportional to 397,141.94, 548,061.44 and 215,853.81

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Solution

The fourth proportional to 397,141.94, 548,061.44 and 215,853.81 is: 297,881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,141.94 : 548,061.44 = 215,853.81 : x
  2. Step 2: Convert to fraction form
    397,141.94/548,061.44 = 215,853.81/x
  3. Step 3: Cross multiply
    397,141.94x = 548,061.44 × 215,853.81
  4. Step 4: Simplify right side
    397,141.94x = 118,301,149,938.09
  5. Step 5: Solve for x
    x = 118,301,149,938.09/397,141.94
  6. Step 6: Final answer
    x = 297,881.28

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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.