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Finding the Fourth Proportional to 397,378.22, 548,384.51 and 216,092.12

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Solution

The fourth proportional to 397,378.22, 548,384.51 and 216,092.12 is: 298,208.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,378.22 : 548,384.51 = 216,092.12 : x
  2. Step 2: Convert to fraction form
    397,378.22/548,384.51 = 216,092.12/x
  3. Step 3: Cross multiply
    397,378.22x = 548,384.51 × 216,092.12
  4. Step 4: Simplify right side
    397,378.22x = 118,501,569,139.37
  5. Step 5: Solve for x
    x = 118,501,569,139.37/397,378.22
  6. Step 6: Final answer
    x = 298,208.52

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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.