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Finding the Fourth Proportional to 397,258.41, 548,220.07 and 215,970.46

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Solution

The fourth proportional to 397,258.41, 548,220.07 and 215,970.46 is: 298,041.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,258.41 : 548,220.07 = 215,970.46 : x
  2. Step 2: Convert to fraction form
    397,258.41/548,220.07 = 215,970.46/x
  3. Step 3: Cross multiply
    397,258.41x = 548,220.07 × 215,970.46
  4. Step 4: Simplify right side
    397,258.41x = 118,399,344,060.63
  5. Step 5: Solve for x
    x = 118,399,344,060.63/397,258.41
  6. Step 6: Final answer
    x = 298,041.12

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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.