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Finding the Fourth Proportional to 437,203.72, 655,633.62 and 212,498.32

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Solution

The fourth proportional to 437,203.72, 655,633.62 and 212,498.32 is: 318,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,203.72 : 655,633.62 = 212,498.32 : x
  2. Step 2: Convert to fraction form
    437,203.72/655,633.62 = 212,498.32/x
  3. Step 3: Cross multiply
    437,203.72x = 655,633.62 × 212,498.32
  4. Step 4: Simplify right side
    437,203.72x = 139,321,042,785.52
  5. Step 5: Solve for x
    x = 139,321,042,785.52/437,203.72
  6. Step 6: Final answer
    x = 318,663.90

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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.