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Finding the Fourth Proportional to 442,153.37, 663,359.22 and 142,627.32

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Solution

The fourth proportional to 442,153.37, 663,359.22 and 142,627.32 is: 213,982.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,153.37 : 663,359.22 = 142,627.32 : x
  2. Step 2: Convert to fraction form
    442,153.37/663,359.22 = 142,627.32/x
  3. Step 3: Cross multiply
    442,153.37x = 663,359.22 × 142,627.32
  4. Step 4: Simplify right side
    442,153.37x = 94,613,147,745.89
  5. Step 5: Solve for x
    x = 94,613,147,745.89/442,153.37
  6. Step 6: Final answer
    x = 213,982.64

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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.