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Finding the Fourth Proportional to 380,190.68, 524,627.32 and 227,198.40

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Solution

The fourth proportional to 380,190.68, 524,627.32 and 227,198.40 is: 313,512.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,190.68 : 524,627.32 = 227,198.40 : x
  2. Step 2: Convert to fraction form
    380,190.68/524,627.32 = 227,198.40/x
  3. Step 3: Cross multiply
    380,190.68x = 524,627.32 × 227,198.40
  4. Step 4: Simplify right side
    380,190.68x = 119,194,487,700.29
  5. Step 5: Solve for x
    x = 119,194,487,700.29/380,190.68
  6. Step 6: Final answer
    x = 313,512.39

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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.