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Finding the Fourth Proportional to 218,440.53, 301,447.31 and 122,947.23

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Solution

The fourth proportional to 218,440.53, 301,447.31 and 122,947.23 is: 169,666.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,440.53 : 301,447.31 = 122,947.23 : x
  2. Step 2: Convert to fraction form
    218,440.53/301,447.31 = 122,947.23/x
  3. Step 3: Cross multiply
    218,440.53x = 301,447.31 × 122,947.23
  4. Step 4: Simplify right side
    218,440.53x = 37,062,111,755.45
  5. Step 5: Solve for x
    x = 37,062,111,755.45/218,440.53
  6. Step 6: Final answer
    x = 169,666.83

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1.5x scale

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.