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Finding the Fourth Proportional to 218,245.97, 301,080.42 and 157,720.74

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Solution

The fourth proportional to 218,245.97, 301,080.42 and 157,720.74 is: 217,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,245.97 : 301,080.42 = 157,720.74 : x
  2. Step 2: Convert to fraction form
    218,245.97/301,080.42 = 157,720.74/x
  3. Step 3: Cross multiply
    218,245.97x = 301,080.42 × 157,720.74
  4. Step 4: Simplify right side
    218,245.97x = 47,486,627,609.64
  5. Step 5: Solve for x
    x = 47,486,627,609.64/218,245.97
  6. Step 6: Final answer
    x = 217,583.07

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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.