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Finding the Fourth Proportional to 193,409.70, 290,114.55 and 151,419.30

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Solution

The fourth proportional to 193,409.70, 290,114.55 and 151,419.30 is: 227,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,409.70 : 290,114.55 = 151,419.30 : x
  2. Step 2: Convert to fraction form
    193,409.70/290,114.55 = 151,419.30/x
  3. Step 3: Cross multiply
    193,409.70x = 290,114.55 × 151,419.30
  4. Step 4: Simplify right side
    193,409.70x = 43,928,942,080.82
  5. Step 5: Solve for x
    x = 43,928,942,080.82/193,409.70
  6. Step 6: Final answer
    x = 227,128.95

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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.