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Finding the Fourth Proportional to 202,429.20, 303,449.40 and 157,425.60

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Solution

The fourth proportional to 202,429.20, 303,449.40 and 157,425.60 is: 235,987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,429.20 : 303,449.40 = 157,425.60 : x
  2. Step 2: Convert to fraction form
    202,429.20/303,449.40 = 157,425.60/x
  3. Step 3: Cross multiply
    202,429.20x = 303,449.40 × 157,425.60
  4. Step 4: Simplify right side
    202,429.20x = 47,770,703,864.64
  5. Step 5: Solve for x
    x = 47,770,703,864.64/202,429.20
  6. Step 6: Final answer
    x = 235,987.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.