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Finding the Fourth Proportional to 442,165.08, 610,014.60 and 272,103.96

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Solution

The fourth proportional to 442,165.08, 610,014.60 and 272,103.96 is: 375,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,165.08 : 610,014.60 = 272,103.96 : x
  2. Step 2: Convert to fraction form
    442,165.08/610,014.60 = 272,103.96/x
  3. Step 3: Cross multiply
    442,165.08x = 610,014.60 × 272,103.96
  4. Step 4: Simplify right side
    442,165.08x = 165,987,388,317.82
  5. Step 5: Solve for x
    x = 165,987,388,317.82/442,165.08
  6. Step 6: Final answer
    x = 375,396.87

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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.