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Finding the Fourth Proportional to 202,409.20, 303,419.40 and 157,405.60

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Solution

The fourth proportional to 202,409.20, 303,419.40 and 157,405.60 is: 235,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,409.20 : 303,419.40 = 157,405.60 : x
  2. Step 2: Convert to fraction form
    202,409.20/303,419.40 = 157,405.60/x
  3. Step 3: Cross multiply
    202,409.20x = 303,419.40 × 157,405.60
  4. Step 4: Simplify right side
    202,409.20x = 47,759,912,708.64
  5. Step 5: Solve for x
    x = 47,759,912,708.64/202,409.20
  6. Step 6: Final answer
    x = 235,957.22

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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.