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Finding the Fourth Proportional to 397,580.70, 548,648.85 and 216,287.97

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Solution

The fourth proportional to 397,580.70, 548,648.85 and 216,287.97 is: 298,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,580.70 : 548,648.85 = 216,287.97 : x
  2. Step 2: Convert to fraction form
    397,580.70/548,648.85 = 216,287.97/x
  3. Step 3: Cross multiply
    397,580.70x = 548,648.85 × 216,287.97
  4. Step 4: Simplify right side
    397,580.70x = 118,666,146,009.34
  5. Step 5: Solve for x
    x = 118,666,146,009.34/397,580.70
  6. Step 6: Final answer
    x = 298,470.59

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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.